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Finding the Fourth Proportional to 23,597.72, 32,565.47 and 12,843.30

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Solution

The fourth proportional to 23,597.72, 32,565.47 and 12,843.30 is: 17,724.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,597.72 : 32,565.47 = 12,843.30 : x
  2. Step 2: Convert to fraction form
    23,597.72/32,565.47 = 12,843.30/x
  3. Step 3: Cross multiply
    23,597.72x = 32,565.47 × 12,843.30
  4. Step 4: Simplify right side
    23,597.72x = 418,248,036.63
  5. Step 5: Solve for x
    x = 418,248,036.63/23,597.72
  6. Step 6: Final answer
    x = 17,724.08

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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.