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Finding the Fourth Proportional to 23,876.31, 32,949.50 and 14,929.00

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Solution

The fourth proportional to 23,876.31, 32,949.50 and 14,929.00 is: 20,602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,876.31 : 32,949.50 = 14,929.00 : x
  2. Step 2: Convert to fraction form
    23,876.31/32,949.50 = 14,929.00/x
  3. Step 3: Cross multiply
    23,876.31x = 32,949.50 × 14,929.00
  4. Step 4: Simplify right side
    23,876.31x = 491,903,012.46
  5. Step 5: Solve for x
    x = 491,903,012.46/23,876.31
  6. Step 6: Final answer
    x = 20,602.14

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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.