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Finding the Fourth Proportional to 13,875.64, 20,814.18 and 4,642.36

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Solution

The fourth proportional to 13,875.64, 20,814.18 and 4,642.36 is: 6,963.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,875.64 : 20,814.18 = 4,642.36 : x
  2. Step 2: Convert to fraction form
    13,875.64/20,814.18 = 4,642.36/x
  3. Step 3: Cross multiply
    13,875.64x = 20,814.18 × 4,642.36
  4. Step 4: Simplify right side
    13,875.64x = 96,626,916.66
  5. Step 5: Solve for x
    x = 96,626,916.66/13,875.64
  6. Step 6: Final answer
    x = 6,963.78

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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.