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Finding the Fourth Proportional to 10,264.20, 15,403.79 and 9,651.84

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Solution

The fourth proportional to 10,264.20, 15,403.79 and 9,651.84 is: 14,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,264.20 : 15,403.79 = 9,651.84 : x
  2. Step 2: Convert to fraction form
    10,264.20/15,403.79 = 9,651.84/x
  3. Step 3: Cross multiply
    10,264.20x = 15,403.79 × 9,651.84
  4. Step 4: Simplify right side
    10,264.20x = 148,674,916.47
  5. Step 5: Solve for x
    x = 148,674,916.47/10,264.20
  6. Step 6: Final answer
    x = 14,484.80

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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.