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Finding the Fourth Proportional to 16,585.66, 22,900.02 and 10,214.20

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Solution

The fourth proportional to 16,585.66, 22,900.02 and 10,214.20 is: 14,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.66 : 22,900.02 = 10,214.20 : x
  2. Step 2: Convert to fraction form
    16,585.66/22,900.02 = 10,214.20/x
  3. Step 3: Cross multiply
    16,585.66x = 22,900.02 × 10,214.20
  4. Step 4: Simplify right side
    16,585.66x = 233,905,374.61
  5. Step 5: Solve for x
    x = 233,905,374.61/16,585.66
  6. Step 6: Final answer
    x = 14,102.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.