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Finding the Fourth Proportional to 23,498.64, 32,428.17 and 12,888.36

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Solution

The fourth proportional to 23,498.64, 32,428.17 and 12,888.36 is: 17,785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,498.64 : 32,428.17 = 12,888.36 : x
  2. Step 2: Convert to fraction form
    23,498.64/32,428.17 = 12,888.36/x
  3. Step 3: Cross multiply
    23,498.64x = 32,428.17 × 12,888.36
  4. Step 4: Simplify right side
    23,498.64x = 417,945,929.10
  5. Step 5: Solve for x
    x = 417,945,929.10/23,498.64
  6. Step 6: Final answer
    x = 17,785.96

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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.