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Finding the Fourth Proportional to 25,352.68, 38,024.16 and 9,768.28

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Solution

The fourth proportional to 25,352.68, 38,024.16 and 9,768.28 is: 14,650.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,352.68 : 38,024.16 = 9,768.28 : x
  2. Step 2: Convert to fraction form
    25,352.68/38,024.16 = 9,768.28/x
  3. Step 3: Cross multiply
    25,352.68x = 38,024.16 × 9,768.28
  4. Step 4: Simplify right side
    25,352.68x = 371,430,641.64
  5. Step 5: Solve for x
    x = 371,430,641.64/25,352.68
  6. Step 6: Final answer
    x = 14,650.55

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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.