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Finding the Fourth Proportional to 13,570.30, 20,386.66 and 9,576.88

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Solution

The fourth proportional to 13,570.30, 20,386.66 and 9,576.88 is: 14,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,570.30 : 20,386.66 = 9,576.88 : x
  2. Step 2: Convert to fraction form
    13,570.30/20,386.66 = 9,576.88/x
  3. Step 3: Cross multiply
    13,570.30x = 20,386.66 × 9,576.88
  4. Step 4: Simplify right side
    13,570.30x = 195,240,596.42
  5. Step 5: Solve for x
    x = 195,240,596.42/13,570.30
  6. Step 6: Final answer
    x = 14,387.35

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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.