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Finding the Fourth Proportional to 22,972.60, 31,699.78 and 15,417.40

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Solution

The fourth proportional to 22,972.60, 31,699.78 and 15,417.40 is: 21,274.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,972.60 : 31,699.78 = 15,417.40 : x
  2. Step 2: Convert to fraction form
    22,972.60/31,699.78 = 15,417.40/x
  3. Step 3: Cross multiply
    22,972.60x = 31,699.78 × 15,417.40
  4. Step 4: Simplify right side
    22,972.60x = 488,728,188.17
  5. Step 5: Solve for x
    x = 488,728,188.17/22,972.60
  6. Step 6: Final answer
    x = 21,274.40

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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.