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Finding the Fourth Proportional to 25,042.68, 37,567.70 and 7,513.88

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Solution

The fourth proportional to 25,042.68, 37,567.70 and 7,513.88 is: 11,271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,042.68 : 37,567.70 = 7,513.88 : x
  2. Step 2: Convert to fraction form
    25,042.68/37,567.70 = 7,513.88/x
  3. Step 3: Cross multiply
    25,042.68x = 37,567.70 × 7,513.88
  4. Step 4: Simplify right side
    25,042.68x = 282,278,964.27
  5. Step 5: Solve for x
    x = 282,278,964.27/25,042.68
  6. Step 6: Final answer
    x = 11,271.92

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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.