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Finding the Fourth Proportional to 17,585.76, 26,352.72 and 9,792.48

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Solution

The fourth proportional to 17,585.76, 26,352.72 and 9,792.48 is: 14,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,585.76 : 26,352.72 = 9,792.48 : x
  2. Step 2: Convert to fraction form
    17,585.76/26,352.72 = 9,792.48/x
  3. Step 3: Cross multiply
    17,585.76x = 26,352.72 × 9,792.48
  4. Step 4: Simplify right side
    17,585.76x = 258,058,483.55
  5. Step 5: Solve for x
    x = 258,058,483.55/17,585.76
  6. Step 6: Final answer
    x = 14,674.29

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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.