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Finding the Fourth Proportional to 13,624.18, 20,419.26 and 7,700.65

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Solution

The fourth proportional to 13,624.18, 20,419.26 and 7,700.65 is: 11,541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.18 : 20,419.26 = 7,700.65 : x
  2. Step 2: Convert to fraction form
    13,624.18/20,419.26 = 7,700.65/x
  3. Step 3: Cross multiply
    13,624.18x = 20,419.26 × 7,700.65
  4. Step 4: Simplify right side
    13,624.18x = 157,241,574.52
  5. Step 5: Solve for x
    x = 157,241,574.52/13,624.18
  6. Step 6: Final answer
    x = 11,541.36

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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.