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Finding the Fourth Proportional to 24,684.52, 34,064.54 and 13,354.02

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Solution

The fourth proportional to 24,684.52, 34,064.54 and 13,354.02 is: 18,428.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,684.52 : 34,064.54 = 13,354.02 : x
  2. Step 2: Convert to fraction form
    24,684.52/34,064.54 = 13,354.02/x
  3. Step 3: Cross multiply
    24,684.52x = 34,064.54 × 13,354.02
  4. Step 4: Simplify right side
    24,684.52x = 454,898,548.45
  5. Step 5: Solve for x
    x = 454,898,548.45/24,684.52
  6. Step 6: Final answer
    x = 18,428.49

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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.