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Finding the Fourth Proportional to 17,765.40, 24,516.18 and 9,807.60

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Solution

The fourth proportional to 17,765.40, 24,516.18 and 9,807.60 is: 13,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.40 : 24,516.18 = 9,807.60 : x
  2. Step 2: Convert to fraction form
    17,765.40/24,516.18 = 9,807.60/x
  3. Step 3: Cross multiply
    17,765.40x = 24,516.18 × 9,807.60
  4. Step 4: Simplify right side
    17,765.40x = 240,444,886.97
  5. Step 5: Solve for x
    x = 240,444,886.97/17,765.40
  6. Step 6: Final answer
    x = 13,534.45

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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.