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Finding the Fourth Proportional to 28,071.52, 38,738.46 and 15,496

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Solution

The fourth proportional to 28,071.52, 38,738.46 and 15,496 is: 21,384.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,071.52 : 38,738.46 = 15,496 : x
  2. Step 2: Convert to fraction form
    28,071.52/38,738.46 = 15,496/x
  3. Step 3: Cross multiply
    28,071.52x = 38,738.46 × 15,496
  4. Step 4: Simplify right side
    28,071.52x = 600,291,176.16
  5. Step 5: Solve for x
    x = 600,291,176.16/28,071.52
  6. Step 6: Final answer
    x = 21,384.35

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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.