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Finding the Fourth Proportional to 13,232.80, 19,831.20 and 8,538.40

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Solution

The fourth proportional to 13,232.80, 19,831.20 and 8,538.40 is: 12,795.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,232.80 : 19,831.20 = 8,538.40 : x
  2. Step 2: Convert to fraction form
    13,232.80/19,831.20 = 8,538.40/x
  3. Step 3: Cross multiply
    13,232.80x = 19,831.20 × 8,538.40
  4. Step 4: Simplify right side
    13,232.80x = 169,326,718.08
  5. Step 5: Solve for x
    x = 169,326,718.08/13,232.80
  6. Step 6: Final answer
    x = 12,795.99

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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.