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Finding the Fourth Proportional to 17,735.71, 24,474.45 and 10,176.86

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Solution

The fourth proportional to 17,735.71, 24,474.45 and 10,176.86 is: 14,043.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,735.71 : 24,474.45 = 10,176.86 : x
  2. Step 2: Convert to fraction form
    17,735.71/24,474.45 = 10,176.86/x
  3. Step 3: Cross multiply
    17,735.71x = 24,474.45 × 10,176.86
  4. Step 4: Simplify right side
    17,735.71x = 249,073,051.23
  5. Step 5: Solve for x
    x = 249,073,051.23/17,735.71
  6. Step 6: Final answer
    x = 14,043.59

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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.