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Finding the Fourth Proportional to 23,589.42, 32,566.84 and 15,642.40

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Solution

The fourth proportional to 23,589.42, 32,566.84 and 15,642.40 is: 21,595.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,589.42 : 32,566.84 = 15,642.40 : x
  2. Step 2: Convert to fraction form
    23,589.42/32,566.84 = 15,642.40/x
  3. Step 3: Cross multiply
    23,589.42x = 32,566.84 × 15,642.40
  4. Step 4: Simplify right side
    23,589.42x = 509,423,538.02
  5. Step 5: Solve for x
    x = 509,423,538.02/23,589.42
  6. Step 6: Final answer
    x = 21,595.42

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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.