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Finding the Fourth Proportional to 25,023, 34,532.82 and 13,845

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Solution

The fourth proportional to 25,023, 34,532.82 and 13,845 is: 19,106.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,023 : 34,532.82 = 13,845 : x
  2. Step 2: Convert to fraction form
    25,023/34,532.82 = 13,845/x
  3. Step 3: Cross multiply
    25,023x = 34,532.82 × 13,845
  4. Step 4: Simplify right side
    25,023x = 478,106,892.90
  5. Step 5: Solve for x
    x = 478,106,892.90/25,023
  6. Step 6: Final answer
    x = 19,106.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.