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Finding the Fourth Proportional to 25,342.34, 38,002.51 and 9,749.02

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Solution

The fourth proportional to 25,342.34, 38,002.51 and 9,749.02 is: 14,619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,342.34 : 38,002.51 = 9,749.02 : x
  2. Step 2: Convert to fraction form
    25,342.34/38,002.51 = 9,749.02/x
  3. Step 3: Cross multiply
    25,342.34x = 38,002.51 × 9,749.02
  4. Step 4: Simplify right side
    25,342.34x = 370,487,230.04
  5. Step 5: Solve for x
    x = 370,487,230.04/25,342.34
  6. Step 6: Final answer
    x = 14,619.30

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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.