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Finding the Fourth Proportional to 23,514.72, 32,449.76 and 12,904.32

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Solution

The fourth proportional to 23,514.72, 32,449.76 and 12,904.32 is: 17,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,514.72 : 32,449.76 = 12,904.32 : x
  2. Step 2: Convert to fraction form
    23,514.72/32,449.76 = 12,904.32/x
  3. Step 3: Cross multiply
    23,514.72x = 32,449.76 × 12,904.32
  4. Step 4: Simplify right side
    23,514.72x = 418,742,086.96
  5. Step 5: Solve for x
    x = 418,742,086.96/23,514.72
  6. Step 6: Final answer
    x = 17,807.66

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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.