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Finding the Fourth Proportional to 15,988.50, 22,064.13 and 8,915.38

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Solution

The fourth proportional to 15,988.50, 22,064.13 and 8,915.38 is: 12,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,988.50 : 22,064.13 = 8,915.38 : x
  2. Step 2: Convert to fraction form
    15,988.50/22,064.13 = 8,915.38/x
  3. Step 3: Cross multiply
    15,988.50x = 22,064.13 × 8,915.38
  4. Step 4: Simplify right side
    15,988.50x = 196,710,048.16
  5. Step 5: Solve for x
    x = 196,710,048.16/15,988.50
  6. Step 6: Final answer
    x = 12,303.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.