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Finding the Fourth Proportional to 17,024.60, 25,536.90 and 9,116.30

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Solution

The fourth proportional to 17,024.60, 25,536.90 and 9,116.30 is: 13,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,024.60 : 25,536.90 = 9,116.30 : x
  2. Step 2: Convert to fraction form
    17,024.60/25,536.90 = 9,116.30/x
  3. Step 3: Cross multiply
    17,024.60x = 25,536.90 × 9,116.30
  4. Step 4: Simplify right side
    17,024.60x = 232,802,041.47
  5. Step 5: Solve for x
    x = 232,802,041.47/17,024.60
  6. Step 6: Final answer
    x = 13,674.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.