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Finding the Fourth Proportional to 23,058.59, 31,823.87 and 12,988.97

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Solution

The fourth proportional to 23,058.59, 31,823.87 and 12,988.97 is: 17,926.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,058.59 : 31,823.87 = 12,988.97 : x
  2. Step 2: Convert to fraction form
    23,058.59/31,823.87 = 12,988.97/x
  3. Step 3: Cross multiply
    23,058.59x = 31,823.87 × 12,988.97
  4. Step 4: Simplify right side
    23,058.59x = 413,359,440.06
  5. Step 5: Solve for x
    x = 413,359,440.06/23,058.59
  6. Step 6: Final answer
    x = 17,926.48

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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.