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Finding the Fourth Proportional to 23,493.38, 32,416.88 and 15,531.35

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Solution

The fourth proportional to 23,493.38, 32,416.88 and 15,531.35 is: 21,430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,493.38 : 32,416.88 = 15,531.35 : x
  2. Step 2: Convert to fraction form
    23,493.38/32,416.88 = 15,531.35/x
  3. Step 3: Cross multiply
    23,493.38x = 32,416.88 × 15,531.35
  4. Step 4: Simplify right side
    23,493.38x = 503,477,669.45
  5. Step 5: Solve for x
    x = 503,477,669.45/23,493.38
  6. Step 6: Final answer
    x = 21,430.62

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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.