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Finding the Fourth Proportional to 25,241.84, 37,838.64 and 9,442.58

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Solution

The fourth proportional to 25,241.84, 37,838.64 and 9,442.58 is: 14,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,241.84 : 37,838.64 = 9,442.58 : x
  2. Step 2: Convert to fraction form
    25,241.84/37,838.64 = 9,442.58/x
  3. Step 3: Cross multiply
    25,241.84x = 37,838.64 × 9,442.58
  4. Step 4: Simplify right side
    25,241.84x = 357,294,385.29
  5. Step 5: Solve for x
    x = 357,294,385.29/25,241.84
  6. Step 6: Final answer
    x = 14,154.85

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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.