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Finding the Fourth Proportional to 15,117.86, 20,862.24 and 8,403.32

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Solution

The fourth proportional to 15,117.86, 20,862.24 and 8,403.32 is: 11,596.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,117.86 : 20,862.24 = 8,403.32 : x
  2. Step 2: Convert to fraction form
    15,117.86/20,862.24 = 8,403.32/x
  3. Step 3: Cross multiply
    15,117.86x = 20,862.24 × 8,403.32
  4. Step 4: Simplify right side
    15,117.86x = 175,312,078.64
  5. Step 5: Solve for x
    x = 175,312,078.64/15,117.86
  6. Step 6: Final answer
    x = 11,596.36

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