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Finding the Fourth Proportional to 17,237.07, 25,831.68 and 7,854.16

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Solution

The fourth proportional to 17,237.07, 25,831.68 and 7,854.16 is: 11,770.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,237.07 : 25,831.68 = 7,854.16 : x
  2. Step 2: Convert to fraction form
    17,237.07/25,831.68 = 7,854.16/x
  3. Step 3: Cross multiply
    17,237.07x = 25,831.68 × 7,854.16
  4. Step 4: Simplify right side
    17,237.07x = 202,886,070.56
  5. Step 5: Solve for x
    x = 202,886,070.56/17,237.07
  6. Step 6: Final answer
    x = 11,770.33

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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.