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Finding the Fourth Proportional to 13,633.58, 20,461.31 and 7,061.65

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Solution

The fourth proportional to 13,633.58, 20,461.31 and 7,061.65 is: 10,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.58 : 20,461.31 = 7,061.65 : x
  2. Step 2: Convert to fraction form
    13,633.58/20,461.31 = 7,061.65/x
  3. Step 3: Cross multiply
    13,633.58x = 20,461.31 × 7,061.65
  4. Step 4: Simplify right side
    13,633.58x = 144,490,558.61
  5. Step 5: Solve for x
    x = 144,490,558.61/13,633.58
  6. Step 6: Final answer
    x = 10,598.14

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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.