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Finding the Fourth Proportional to 25,773.21, 35,569.19 and 14,442.53

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Solution

The fourth proportional to 25,773.21, 35,569.19 and 14,442.53 is: 19,931.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,773.21 : 35,569.19 = 14,442.53 : x
  2. Step 2: Convert to fraction form
    25,773.21/35,569.19 = 14,442.53/x
  3. Step 3: Cross multiply
    25,773.21x = 35,569.19 × 14,442.53
  4. Step 4: Simplify right side
    25,773.21x = 513,708,843.59
  5. Step 5: Solve for x
    x = 513,708,843.59/25,773.21
  6. Step 6: Final answer
    x = 19,931.89

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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.