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Finding the Fourth Proportional to 17,138.32, 25,689.98 and 9,727.12

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Solution

The fourth proportional to 17,138.32, 25,689.98 and 9,727.12 is: 14,580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.32 : 25,689.98 = 9,727.12 : x
  2. Step 2: Convert to fraction form
    17,138.32/25,689.98 = 9,727.12/x
  3. Step 3: Cross multiply
    17,138.32x = 25,689.98 × 9,727.12
  4. Step 4: Simplify right side
    17,138.32x = 249,889,518.26
  5. Step 5: Solve for x
    x = 249,889,518.26/17,138.32
  6. Step 6: Final answer
    x = 14,580.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.