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Finding the Fourth Proportional to 23,498.64, 32,428.26 and 12,888.30

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Solution

The fourth proportional to 23,498.64, 32,428.26 and 12,888.30 is: 17,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,498.64 : 32,428.26 = 12,888.30 : x
  2. Step 2: Convert to fraction form
    23,498.64/32,428.26 = 12,888.30/x
  3. Step 3: Cross multiply
    23,498.64x = 32,428.26 × 12,888.30
  4. Step 4: Simplify right side
    23,498.64x = 417,945,143.36
  5. Step 5: Solve for x
    x = 417,945,143.36/23,498.64
  6. Step 6: Final answer
    x = 17,785.93

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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.