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Finding the Fourth Proportional to 23,585.18, 32,509.76 and 17,901.42

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Solution

The fourth proportional to 23,585.18, 32,509.76 and 17,901.42 is: 24,675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,585.18 : 32,509.76 = 17,901.42 : x
  2. Step 2: Convert to fraction form
    23,585.18/32,509.76 = 17,901.42/x
  3. Step 3: Cross multiply
    23,585.18x = 32,509.76 × 17,901.42
  4. Step 4: Simplify right side
    23,585.18x = 581,970,867.86
  5. Step 5: Solve for x
    x = 581,970,867.86/23,585.18
  6. Step 6: Final answer
    x = 24,675.28

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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.