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Finding the Fourth Proportional to 16,156.40, 22,298.16 and 10,508

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Solution

The fourth proportional to 16,156.40, 22,298.16 and 10,508 is: 14,502.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,156.40 : 22,298.16 = 10,508 : x
  2. Step 2: Convert to fraction form
    16,156.40/22,298.16 = 10,508/x
  3. Step 3: Cross multiply
    16,156.40x = 22,298.16 × 10,508
  4. Step 4: Simplify right side
    16,156.40x = 234,309,065.28
  5. Step 5: Solve for x
    x = 234,309,065.28/16,156.40
  6. Step 6: Final answer
    x = 14,502.55

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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.