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Finding the Fourth Proportional to 17,429.04, 24,052 and 9,471.12

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Solution

The fourth proportional to 17,429.04, 24,052 and 9,471.12 is: 13,070.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,429.04 : 24,052 = 9,471.12 : x
  2. Step 2: Convert to fraction form
    17,429.04/24,052 = 9,471.12/x
  3. Step 3: Cross multiply
    17,429.04x = 24,052 × 9,471.12
  4. Step 4: Simplify right side
    17,429.04x = 227,799,378.24
  5. Step 5: Solve for x
    x = 227,799,378.24/17,429.04
  6. Step 6: Final answer
    x = 13,070.10

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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.