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Finding the Fourth Proportional to 10,239.84, 15,390.08 and 8,496.16

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Solution

The fourth proportional to 10,239.84, 15,390.08 and 8,496.16 is: 12,769.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239.84 : 15,390.08 = 8,496.16 : x
  2. Step 2: Convert to fraction form
    10,239.84/15,390.08 = 8,496.16/x
  3. Step 3: Cross multiply
    10,239.84x = 15,390.08 × 8,496.16
  4. Step 4: Simplify right side
    10,239.84x = 130,756,582.09
  5. Step 5: Solve for x
    x = 130,756,582.09/10,239.84
  6. Step 6: Final answer
    x = 12,769.40

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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.