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Finding the Fourth Proportional to 23,207.78, 32,027.40 and 12,598.10

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Solution

The fourth proportional to 23,207.78, 32,027.40 and 12,598.10 is: 17,385.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,207.78 : 32,027.40 = 12,598.10 : x
  2. Step 2: Convert to fraction form
    23,207.78/32,027.40 = 12,598.10/x
  3. Step 3: Cross multiply
    23,207.78x = 32,027.40 × 12,598.10
  4. Step 4: Simplify right side
    23,207.78x = 403,484,347.91
  5. Step 5: Solve for x
    x = 403,484,347.91/23,207.78
  6. Step 6: Final answer
    x = 17,385.73

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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.