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Finding the Fourth Proportional to 10,595.82, 14,689.18 and 10,034.10

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Solution

The fourth proportional to 10,595.82, 14,689.18 and 10,034.10 is: 13,910.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,595.82 : 14,689.18 = 10,034.10 : x
  2. Step 2: Convert to fraction form
    10,595.82/14,689.18 = 10,034.10/x
  3. Step 3: Cross multiply
    10,595.82x = 14,689.18 × 10,034.10
  4. Step 4: Simplify right side
    10,595.82x = 147,392,701.04
  5. Step 5: Solve for x
    x = 147,392,701.04/10,595.82
  6. Step 6: Final answer
    x = 13,910.46

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.