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Finding the Fourth Proportional to 14,588.64, 21,877.56 and 5,227.20

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Solution

The fourth proportional to 14,588.64, 21,877.56 and 5,227.20 is: 7,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588.64 : 21,877.56 = 5,227.20 : x
  2. Step 2: Convert to fraction form
    14,588.64/21,877.56 = 5,227.20/x
  3. Step 3: Cross multiply
    14,588.64x = 21,877.56 × 5,227.20
  4. Step 4: Simplify right side
    14,588.64x = 114,358,381.63
  5. Step 5: Solve for x
    x = 114,358,381.63/14,588.64
  6. Step 6: Final answer
    x = 7,838.87

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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.