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Finding the Fourth Proportional to 23,548.61, 32,497.06 and 12,938.22

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Solution

The fourth proportional to 23,548.61, 32,497.06 and 12,938.22 is: 17,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,548.61 : 32,497.06 = 12,938.22 : x
  2. Step 2: Convert to fraction form
    23,548.61/32,497.06 = 12,938.22/x
  3. Step 3: Cross multiply
    23,548.61x = 32,497.06 × 12,938.22
  4. Step 4: Simplify right side
    23,548.61x = 420,454,111.63
  5. Step 5: Solve for x
    x = 420,454,111.63/23,548.61
  6. Step 6: Final answer
    x = 17,854.73

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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.