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Finding the Fourth Proportional to 16,585.66, 22,888.66 and 9,415.41

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Solution

The fourth proportional to 16,585.66, 22,888.66 and 9,415.41 is: 12,993.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.66 : 22,888.66 = 9,415.41 : x
  2. Step 2: Convert to fraction form
    16,585.66/22,888.66 = 9,415.41/x
  3. Step 3: Cross multiply
    16,585.66x = 22,888.66 × 9,415.41
  4. Step 4: Simplify right side
    16,585.66x = 215,506,259.38
  5. Step 5: Solve for x
    x = 215,506,259.38/16,585.66
  6. Step 6: Final answer
    x = 12,993.53

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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.