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Finding the Fourth Proportional to 13,411.74, 18,497.02 and 10,061.98

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Solution

The fourth proportional to 13,411.74, 18,497.02 and 10,061.98 is: 13,877.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.74 : 18,497.02 = 10,061.98 : x
  2. Step 2: Convert to fraction form
    13,411.74/18,497.02 = 10,061.98/x
  3. Step 3: Cross multiply
    13,411.74x = 18,497.02 × 10,061.98
  4. Step 4: Simplify right side
    13,411.74x = 186,116,645.30
  5. Step 5: Solve for x
    x = 186,116,645.30/13,411.74
  6. Step 6: Final answer
    x = 13,877.14

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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.