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Finding the Fourth Proportional to 12,555.84, 17,319.72 and 7,831.92

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Solution

The fourth proportional to 12,555.84, 17,319.72 and 7,831.92 is: 10,803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,555.84 : 17,319.72 = 7,831.92 : x
  2. Step 2: Convert to fraction form
    12,555.84/17,319.72 = 7,831.92/x
  3. Step 3: Cross multiply
    12,555.84x = 17,319.72 × 7,831.92
  4. Step 4: Simplify right side
    12,555.84x = 135,646,661.46
  5. Step 5: Solve for x
    x = 135,646,661.46/12,555.84
  6. Step 6: Final answer
    x = 10,803.47

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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.