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Finding the Fourth Proportional to 22,973.52, 31,704.06 and 12,902.76

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Solution

The fourth proportional to 22,973.52, 31,704.06 and 12,902.76 is: 17,806.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,973.52 : 31,704.06 = 12,902.76 : x
  2. Step 2: Convert to fraction form
    22,973.52/31,704.06 = 12,902.76/x
  3. Step 3: Cross multiply
    22,973.52x = 31,704.06 × 12,902.76
  4. Step 4: Simplify right side
    22,973.52x = 409,069,877.21
  5. Step 5: Solve for x
    x = 409,069,877.21/22,973.52
  6. Step 6: Final answer
    x = 17,806.15

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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.