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Finding the Fourth Proportional to 25,312.28, 37,978.50 and 9,725.72

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Solution

The fourth proportional to 25,312.28, 37,978.50 and 9,725.72 is: 14,592.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,312.28 : 37,978.50 = 9,725.72 : x
  2. Step 2: Convert to fraction form
    25,312.28/37,978.50 = 9,725.72/x
  3. Step 3: Cross multiply
    25,312.28x = 37,978.50 × 9,725.72
  4. Step 4: Simplify right side
    25,312.28x = 369,368,257.02
  5. Step 5: Solve for x
    x = 369,368,257.02/25,312.28
  6. Step 6: Final answer
    x = 14,592.45

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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.