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Finding the Fourth Proportional to 22,580.61, 31,160.84 and 12,509.02

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Solution

The fourth proportional to 22,580.61, 31,160.84 and 12,509.02 is: 17,262.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.61 : 31,160.84 = 12,509.02 : x
  2. Step 2: Convert to fraction form
    22,580.61/31,160.84 = 12,509.02/x
  3. Step 3: Cross multiply
    22,580.61x = 31,160.84 × 12,509.02
  4. Step 4: Simplify right side
    22,580.61x = 389,791,570.78
  5. Step 5: Solve for x
    x = 389,791,570.78/22,580.61
  6. Step 6: Final answer
    x = 17,262.23

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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.