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Finding the Fourth Proportional to 15,854.16, 21,877.32 and 8,778.72

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Solution

The fourth proportional to 15,854.16, 21,877.32 and 8,778.72 is: 12,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.16 : 21,877.32 = 8,778.72 : x
  2. Step 2: Convert to fraction form
    15,854.16/21,877.32 = 8,778.72/x
  3. Step 3: Cross multiply
    15,854.16x = 21,877.32 × 8,778.72
  4. Step 4: Simplify right side
    15,854.16x = 192,054,866.63
  5. Step 5: Solve for x
    x = 192,054,866.63/15,854.16
  6. Step 6: Final answer
    x = 12,113.85

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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.