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Finding the Fourth Proportional to 10,421.80, 14,382.03 and 9,574.57

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Solution

The fourth proportional to 10,421.80, 14,382.03 and 9,574.57 is: 13,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,421.80 : 14,382.03 = 9,574.57 : x
  2. Step 2: Convert to fraction form
    10,421.80/14,382.03 = 9,574.57/x
  3. Step 3: Cross multiply
    10,421.80x = 14,382.03 × 9,574.57
  4. Step 4: Simplify right side
    10,421.80x = 137,701,752.98
  5. Step 5: Solve for x
    x = 137,701,752.98/10,421.80
  6. Step 6: Final answer
    x = 13,212.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.