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Finding the Fourth Proportional to 23,519.64, 32,458.17 and 14,088

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Solution

The fourth proportional to 23,519.64, 32,458.17 and 14,088 is: 19,442.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,519.64 : 32,458.17 = 14,088 : x
  2. Step 2: Convert to fraction form
    23,519.64/32,458.17 = 14,088/x
  3. Step 3: Cross multiply
    23,519.64x = 32,458.17 × 14,088
  4. Step 4: Simplify right side
    23,519.64x = 457,270,698.96
  5. Step 5: Solve for x
    x = 457,270,698.96/23,519.64
  6. Step 6: Final answer
    x = 19,442.08

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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.