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Finding the Fourth Proportional to 16,085.70, 22,209.12 and 10,045.17

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Solution

The fourth proportional to 16,085.70, 22,209.12 and 10,045.17 is: 13,869.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,085.70 : 22,209.12 = 10,045.17 : x
  2. Step 2: Convert to fraction form
    16,085.70/22,209.12 = 10,045.17/x
  3. Step 3: Cross multiply
    16,085.70x = 22,209.12 × 10,045.17
  4. Step 4: Simplify right side
    16,085.70x = 223,094,385.95
  5. Step 5: Solve for x
    x = 223,094,385.95/16,085.70
  6. Step 6: Final answer
    x = 13,869.11

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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.