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Finding the Fourth Proportional to 25,304.70, 37,962.40 and 9,509.87

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Solution

The fourth proportional to 25,304.70, 37,962.40 and 9,509.87 is: 14,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,304.70 : 37,962.40 = 9,509.87 : x
  2. Step 2: Convert to fraction form
    25,304.70/37,962.40 = 9,509.87/x
  3. Step 3: Cross multiply
    25,304.70x = 37,962.40 × 9,509.87
  4. Step 4: Simplify right side
    25,304.70x = 361,017,488.89
  5. Step 5: Solve for x
    x = 361,017,488.89/25,304.70
  6. Step 6: Final answer
    x = 14,266.82

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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.