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Finding the Fourth Proportional to 22,652.60, 31,259.14 and 12,580.24

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Solution

The fourth proportional to 22,652.60, 31,259.14 and 12,580.24 is: 17,359.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,652.60 : 31,259.14 = 12,580.24 : x
  2. Step 2: Convert to fraction form
    22,652.60/31,259.14 = 12,580.24/x
  3. Step 3: Cross multiply
    22,652.60x = 31,259.14 × 12,580.24
  4. Step 4: Simplify right side
    22,652.60x = 393,247,483.39
  5. Step 5: Solve for x
    x = 393,247,483.39/22,652.60
  6. Step 6: Final answer
    x = 17,359.93

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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.