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Finding the Fourth Proportional to 13,666.17, 20,499.30 and 4,307.07

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Solution

The fourth proportional to 13,666.17, 20,499.30 and 4,307.07 is: 6,460.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,666.17 : 20,499.30 = 4,307.07 : x
  2. Step 2: Convert to fraction form
    13,666.17/20,499.30 = 4,307.07/x
  3. Step 3: Cross multiply
    13,666.17x = 20,499.30 × 4,307.07
  4. Step 4: Simplify right side
    13,666.17x = 88,291,920.05
  5. Step 5: Solve for x
    x = 88,291,920.05/13,666.17
  6. Step 6: Final answer
    x = 6,460.62

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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.