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Finding the Fourth Proportional to 16,155.40, 22,296.78 and 10,507

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Solution

The fourth proportional to 16,155.40, 22,296.78 and 10,507 is: 14,501.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,155.40 : 22,296.78 = 10,507 : x
  2. Step 2: Convert to fraction form
    16,155.40/22,296.78 = 10,507/x
  3. Step 3: Cross multiply
    16,155.40x = 22,296.78 × 10,507
  4. Step 4: Simplify right side
    16,155.40x = 234,272,267.46
  5. Step 5: Solve for x
    x = 234,272,267.46/16,155.40
  6. Step 6: Final answer
    x = 14,501.17

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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.