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Finding the Fourth Proportional to 24,735, 37,113.30 and 9,148.44

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Solution

The fourth proportional to 24,735, 37,113.30 and 9,148.44 is: 13,726.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,735 : 37,113.30 = 9,148.44 : x
  2. Step 2: Convert to fraction form
    24,735/37,113.30 = 9,148.44/x
  3. Step 3: Cross multiply
    24,735x = 37,113.30 × 9,148.44
  4. Step 4: Simplify right side
    24,735x = 339,528,798.25
  5. Step 5: Solve for x
    x = 339,528,798.25/24,735
  6. Step 6: Final answer
    x = 13,726.65

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Why These Related Problems?

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