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Finding the Fourth Proportional to 15,382.10, 21,228.18 and 9,412.10

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Solution

The fourth proportional to 15,382.10, 21,228.18 and 9,412.10 is: 12,989.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,382.10 : 21,228.18 = 9,412.10 : x
  2. Step 2: Convert to fraction form
    15,382.10/21,228.18 = 9,412.10/x
  3. Step 3: Cross multiply
    15,382.10x = 21,228.18 × 9,412.10
  4. Step 4: Simplify right side
    15,382.10x = 199,801,752.98
  5. Step 5: Solve for x
    x = 199,801,752.98/15,382.10
  6. Step 6: Final answer
    x = 12,989.24

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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.