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Finding the Fourth Proportional to 23,498.34, 32,427.42 and 12,887.88

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Solution

The fourth proportional to 23,498.34, 32,427.42 and 12,887.88 is: 17,785.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,498.34 : 32,427.42 = 12,887.88 : x
  2. Step 2: Convert to fraction form
    23,498.34/32,427.42 = 12,887.88/x
  3. Step 3: Cross multiply
    23,498.34x = 32,427.42 × 12,887.88
  4. Step 4: Simplify right side
    23,498.34x = 417,920,697.67
  5. Step 5: Solve for x
    x = 417,920,697.67/23,498.34
  6. Step 6: Final answer
    x = 17,785.12

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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.