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Finding the Fourth Proportional to 15,038.64, 22,564.98 and 6,717.83

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Solution

The fourth proportional to 15,038.64, 22,564.98 and 6,717.83 is: 10,079.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,038.64 : 22,564.98 = 6,717.83 : x
  2. Step 2: Convert to fraction form
    15,038.64/22,564.98 = 6,717.83/x
  3. Step 3: Cross multiply
    15,038.64x = 22,564.98 × 6,717.83
  4. Step 4: Simplify right side
    15,038.64x = 151,587,586.77
  5. Step 5: Solve for x
    x = 151,587,586.77/15,038.64
  6. Step 6: Final answer
    x = 10,079.87

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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.