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Finding the Fourth Proportional to 13,715.88, 20,569.50 and 8,714.76

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Solution

The fourth proportional to 13,715.88, 20,569.50 and 8,714.76 is: 13,069.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.88 : 20,569.50 = 8,714.76 : x
  2. Step 2: Convert to fraction form
    13,715.88/20,569.50 = 8,714.76/x
  3. Step 3: Cross multiply
    13,715.88x = 20,569.50 × 8,714.76
  4. Step 4: Simplify right side
    13,715.88x = 179,258,255.82
  5. Step 5: Solve for x
    x = 179,258,255.82/13,715.88
  6. Step 6: Final answer
    x = 13,069.40

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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.