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Finding the Fourth Proportional to 10,612.69, 15,826.39 and 9,302.51

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Solution

The fourth proportional to 10,612.69, 15,826.39 and 9,302.51 is: 13,872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.69 : 15,826.39 = 9,302.51 : x
  2. Step 2: Convert to fraction form
    10,612.69/15,826.39 = 9,302.51/x
  3. Step 3: Cross multiply
    10,612.69x = 15,826.39 × 9,302.51
  4. Step 4: Simplify right side
    10,612.69x = 147,225,167.55
  5. Step 5: Solve for x
    x = 147,225,167.55/10,612.69
  6. Step 6: Final answer
    x = 13,872.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.