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Finding the Fourth Proportional to 13,886.57, 20,831.48 and 4,877.91

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Solution

The fourth proportional to 13,886.57, 20,831.48 and 4,877.91 is: 7,317.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.57 : 20,831.48 = 4,877.91 : x
  2. Step 2: Convert to fraction form
    13,886.57/20,831.48 = 4,877.91/x
  3. Step 3: Cross multiply
    13,886.57x = 20,831.48 × 4,877.91
  4. Step 4: Simplify right side
    13,886.57x = 101,614,060.22
  5. Step 5: Solve for x
    x = 101,614,060.22/13,886.57
  6. Step 6: Final answer
    x = 7,317.44

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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.