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Finding the Fourth Proportional to 14,442.68, 19,931.19 and 8,155.19

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Solution

The fourth proportional to 14,442.68, 19,931.19 and 8,155.19 is: 11,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,442.68 : 19,931.19 = 8,155.19 : x
  2. Step 2: Convert to fraction form
    14,442.68/19,931.19 = 8,155.19/x
  3. Step 3: Cross multiply
    14,442.68x = 19,931.19 × 8,155.19
  4. Step 4: Simplify right side
    14,442.68x = 162,542,641.38
  5. Step 5: Solve for x
    x = 162,542,641.38/14,442.68
  6. Step 6: Final answer
    x = 11,254.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.