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Finding the Fourth Proportional to 13,061.36, 18,024.36 and 7,472

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Solution

The fourth proportional to 13,061.36, 18,024.36 and 7,472 is: 10,311.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,061.36 : 18,024.36 = 7,472 : x
  2. Step 2: Convert to fraction form
    13,061.36/18,024.36 = 7,472/x
  3. Step 3: Cross multiply
    13,061.36x = 18,024.36 × 7,472
  4. Step 4: Simplify right side
    13,061.36x = 134,678,017.92
  5. Step 5: Solve for x
    x = 134,678,017.92/13,061.36
  6. Step 6: Final answer
    x = 10,311.18

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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.