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Finding the Fourth Proportional to 15,826.65, 21,842.10 and 9,114.45

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Solution

The fourth proportional to 15,826.65, 21,842.10 and 9,114.45 is: 12,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,826.65 : 21,842.10 = 9,114.45 : x
  2. Step 2: Convert to fraction form
    15,826.65/21,842.10 = 9,114.45/x
  3. Step 3: Cross multiply
    15,826.65x = 21,842.10 × 9,114.45
  4. Step 4: Simplify right side
    15,826.65x = 199,078,728.35
  5. Step 5: Solve for x
    x = 199,078,728.35/15,826.65
  6. Step 6: Final answer
    x = 12,578.70

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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.