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Finding the Fourth Proportional to 16,298.70, 22,459.95 and 11,569.74

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Solution

The fourth proportional to 16,298.70, 22,459.95 and 11,569.74 is: 15,943.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.70 : 22,459.95 = 11,569.74 : x
  2. Step 2: Convert to fraction form
    16,298.70/22,459.95 = 11,569.74/x
  3. Step 3: Cross multiply
    16,298.70x = 22,459.95 × 11,569.74
  4. Step 4: Simplify right side
    16,298.70x = 259,855,781.91
  5. Step 5: Solve for x
    x = 259,855,781.91/16,298.70
  6. Step 6: Final answer
    x = 15,943.34

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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.