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Finding the Fourth Proportional to 16,585.17, 22,887.95 and 10,209.39

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Solution

The fourth proportional to 16,585.17, 22,887.95 and 10,209.39 is: 14,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,585.17 : 22,887.95 = 10,209.39 : x
  2. Step 2: Convert to fraction form
    16,585.17/22,887.95 = 10,209.39/x
  3. Step 3: Cross multiply
    16,585.17x = 22,887.95 × 10,209.39
  4. Step 4: Simplify right side
    16,585.17x = 233,671,956.80
  5. Step 5: Solve for x
    x = 233,671,956.80/16,585.17
  6. Step 6: Final answer
    x = 14,089.21

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