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Finding the Fourth Proportional to 24,870.57, 37,315.57 and 9,289.41

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Solution

The fourth proportional to 24,870.57, 37,315.57 and 9,289.41 is: 13,937.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,870.57 : 37,315.57 = 9,289.41 : x
  2. Step 2: Convert to fraction form
    24,870.57/37,315.57 = 9,289.41/x
  3. Step 3: Cross multiply
    24,870.57x = 37,315.57 × 9,289.41
  4. Step 4: Simplify right side
    24,870.57x = 346,639,605.89
  5. Step 5: Solve for x
    x = 346,639,605.89/24,870.57
  6. Step 6: Final answer
    x = 13,937.74

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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.