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Finding the Fourth Proportional to 23,549.98, 32,498.88 and 13,478.38

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Solution

The fourth proportional to 23,549.98, 32,498.88 and 13,478.38 is: 18,600.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,549.98 : 32,498.88 = 13,478.38 : x
  2. Step 2: Convert to fraction form
    23,549.98/32,498.88 = 13,478.38/x
  3. Step 3: Cross multiply
    23,549.98x = 32,498.88 × 13,478.38
  4. Step 4: Simplify right side
    23,549.98x = 438,032,254.21
  5. Step 5: Solve for x
    x = 438,032,254.21/23,549.98
  6. Step 6: Final answer
    x = 18,600.11

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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.