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Finding the Fourth Proportional to 14,256.68, 21,385.01 and 6,357.16

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Solution

The fourth proportional to 14,256.68, 21,385.01 and 6,357.16 is: 9,535.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,256.68 : 21,385.01 = 6,357.16 : x
  2. Step 2: Convert to fraction form
    14,256.68/21,385.01 = 6,357.16/x
  3. Step 3: Cross multiply
    14,256.68x = 21,385.01 × 6,357.16
  4. Step 4: Simplify right side
    14,256.68x = 135,947,930.17
  5. Step 5: Solve for x
    x = 135,947,930.17/14,256.68
  6. Step 6: Final answer
    x = 9,535.74

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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.