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Finding the Fourth Proportional to 10,351.84, 15,498.60 and 9,302.08

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Solution

The fourth proportional to 10,351.84, 15,498.60 and 9,302.08 is: 13,926.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,351.84 : 15,498.60 = 9,302.08 : x
  2. Step 2: Convert to fraction form
    10,351.84/15,498.60 = 9,302.08/x
  3. Step 3: Cross multiply
    10,351.84x = 15,498.60 × 9,302.08
  4. Step 4: Simplify right side
    10,351.84x = 144,169,217.09
  5. Step 5: Solve for x
    x = 144,169,217.09/10,351.84
  6. Step 6: Final answer
    x = 13,926.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.