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Finding the Fourth Proportional to 24,214.59, 36,308.66 and 7,570.17

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Solution

The fourth proportional to 24,214.59, 36,308.66 and 7,570.17 is: 11,351.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,214.59 : 36,308.66 = 7,570.17 : x
  2. Step 2: Convert to fraction form
    24,214.59/36,308.66 = 7,570.17/x
  3. Step 3: Cross multiply
    24,214.59x = 36,308.66 × 7,570.17
  4. Step 4: Simplify right side
    24,214.59x = 274,862,690.82
  5. Step 5: Solve for x
    x = 274,862,690.82/24,214.59
  6. Step 6: Final answer
    x = 11,351.12

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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.