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Finding the Fourth Proportional to 14,401.64, 19,876.08 and 8,115.20

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Solution

The fourth proportional to 14,401.64, 19,876.08 and 8,115.20 is: 11,200.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,401.64 : 19,876.08 = 8,115.20 : x
  2. Step 2: Convert to fraction form
    14,401.64/19,876.08 = 8,115.20/x
  3. Step 3: Cross multiply
    14,401.64x = 19,876.08 × 8,115.20
  4. Step 4: Simplify right side
    14,401.64x = 161,298,364.42
  5. Step 5: Solve for x
    x = 161,298,364.42/14,401.64
  6. Step 6: Final answer
    x = 11,200.00

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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.