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Finding the Fourth Proportional to 15,399.40, 21,255.78 and 9,812.20

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Solution

The fourth proportional to 15,399.40, 21,255.78 and 9,812.20 is: 13,543.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,399.40 : 21,255.78 = 9,812.20 : x
  2. Step 2: Convert to fraction form
    15,399.40/21,255.78 = 9,812.20/x
  3. Step 3: Cross multiply
    15,399.40x = 21,255.78 × 9,812.20
  4. Step 4: Simplify right side
    15,399.40x = 208,565,964.52
  5. Step 5: Solve for x
    x = 208,565,964.52/15,399.40
  6. Step 6: Final answer
    x = 13,543.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.