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Finding the Fourth Proportional to 13,666.66, 20,500.72 and 4,307.40

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Solution

The fourth proportional to 13,666.66, 20,500.72 and 4,307.40 is: 6,461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.66 : 20,500.72 = 4,307.40 : x
  2. Step 2: Convert to fraction form
    13,666.66/20,500.72 = 4,307.40/x
  3. Step 3: Cross multiply
    13,666.66x = 20,500.72 × 4,307.40
  4. Step 4: Simplify right side
    13,666.66x = 88,304,801.33
  5. Step 5: Solve for x
    x = 88,304,801.33/13,666.66
  6. Step 6: Final answer
    x = 6,461.33

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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.