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Finding the Fourth Proportional to 25,291.62, 37,941.53 and 9,497.88

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Solution

The fourth proportional to 25,291.62, 37,941.53 and 9,497.88 is: 14,248.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,291.62 : 37,941.53 = 9,497.88 : x
  2. Step 2: Convert to fraction form
    25,291.62/37,941.53 = 9,497.88/x
  3. Step 3: Cross multiply
    25,291.62x = 37,941.53 × 9,497.88
  4. Step 4: Simplify right side
    25,291.62x = 360,364,051.47
  5. Step 5: Solve for x
    x = 360,364,051.47/25,291.62
  6. Step 6: Final answer
    x = 14,248.36

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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.