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Finding the Fourth Proportional to 28,071.72, 38,740.32 and 15,497.28

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Solution

The fourth proportional to 28,071.72, 38,740.32 and 15,497.28 is: 21,386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,071.72 : 38,740.32 = 15,497.28 : x
  2. Step 2: Convert to fraction form
    28,071.72/38,740.32 = 15,497.28/x
  3. Step 3: Cross multiply
    28,071.72x = 38,740.32 × 15,497.28
  4. Step 4: Simplify right side
    28,071.72x = 600,369,586.33
  5. Step 5: Solve for x
    x = 600,369,586.33/28,071.72
  6. Step 6: Final answer
    x = 21,386.99

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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.