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Finding the Fourth Proportional to 25,000.72, 37,508.76 and 8,586

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Solution

The fourth proportional to 25,000.72, 37,508.76 and 8,586 is: 12,881.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,000.72 : 37,508.76 = 8,586 : x
  2. Step 2: Convert to fraction form
    25,000.72/37,508.76 = 8,586/x
  3. Step 3: Cross multiply
    25,000.72x = 37,508.76 × 8,586
  4. Step 4: Simplify right side
    25,000.72x = 322,050,213.36
  5. Step 5: Solve for x
    x = 322,050,213.36/25,000.72
  6. Step 6: Final answer
    x = 12,881.64

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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.