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Finding the Fourth Proportional to 17,697.32, 24,421.88 and 10,148.07

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Solution

The fourth proportional to 17,697.32, 24,421.88 and 10,148.07 is: 14,004.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,697.32 : 24,421.88 = 10,148.07 : x
  2. Step 2: Convert to fraction form
    17,697.32/24,421.88 = 10,148.07/x
  3. Step 3: Cross multiply
    17,697.32x = 24,421.88 × 10,148.07
  4. Step 4: Simplify right side
    17,697.32x = 247,834,947.77
  5. Step 5: Solve for x
    x = 247,834,947.77/17,697.32
  6. Step 6: Final answer
    x = 14,004.09

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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.