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Finding the Fourth Proportional to 10,176.40, 15,268.20 and 9,816.40

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Solution

The fourth proportional to 10,176.40, 15,268.20 and 9,816.40 is: 14,728.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,176.40 : 15,268.20 = 9,816.40 : x
  2. Step 2: Convert to fraction form
    10,176.40/15,268.20 = 9,816.40/x
  3. Step 3: Cross multiply
    10,176.40x = 15,268.20 × 9,816.40
  4. Step 4: Simplify right side
    10,176.40x = 149,878,758.48
  5. Step 5: Solve for x
    x = 149,878,758.48/10,176.40
  6. Step 6: Final answer
    x = 14,728.07

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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.