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Finding the Fourth Proportional to 25,981.60, 38,972.47 and 7,261.51

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Solution

The fourth proportional to 25,981.60, 38,972.47 and 7,261.51 is: 10,892.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,981.60 : 38,972.47 = 7,261.51 : x
  2. Step 2: Convert to fraction form
    25,981.60/38,972.47 = 7,261.51/x
  3. Step 3: Cross multiply
    25,981.60x = 38,972.47 × 7,261.51
  4. Step 4: Simplify right side
    25,981.60x = 282,998,901.35
  5. Step 5: Solve for x
    x = 282,998,901.35/25,981.60
  6. Step 6: Final answer
    x = 10,892.28

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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.