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Finding the Fourth Proportional to 23,102.61, 31,881.62 and 12,492.24

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Solution

The fourth proportional to 23,102.61, 31,881.62 and 12,492.24 is: 17,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,102.61 : 31,881.62 = 12,492.24 : x
  2. Step 2: Convert to fraction form
    23,102.61/31,881.62 = 12,492.24/x
  3. Step 3: Cross multiply
    23,102.61x = 31,881.62 × 12,492.24
  4. Step 4: Simplify right side
    23,102.61x = 398,272,848.63
  5. Step 5: Solve for x
    x = 398,272,848.63/23,102.61
  6. Step 6: Final answer
    x = 17,239.30

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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.