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Finding the Fourth Proportional to 25,658.69, 38,434.03 and 13,140.68

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Solution

The fourth proportional to 25,658.69, 38,434.03 and 13,140.68 is: 19,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,658.69 : 38,434.03 = 13,140.68 : x
  2. Step 2: Convert to fraction form
    25,658.69/38,434.03 = 13,140.68/x
  3. Step 3: Cross multiply
    25,658.69x = 38,434.03 × 13,140.68
  4. Step 4: Simplify right side
    25,658.69x = 505,049,064.32
  5. Step 5: Solve for x
    x = 505,049,064.32/25,658.69
  6. Step 6: Final answer
    x = 19,683.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.