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Finding the Fourth Proportional to 26,384.64, 39,597.02 and 9,760.40

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Solution

The fourth proportional to 26,384.64, 39,597.02 and 9,760.40 is: 14,648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,384.64 : 39,597.02 = 9,760.40 : x
  2. Step 2: Convert to fraction form
    26,384.64/39,597.02 = 9,760.40/x
  3. Step 3: Cross multiply
    26,384.64x = 39,597.02 × 9,760.40
  4. Step 4: Simplify right side
    26,384.64x = 386,482,754.01
  5. Step 5: Solve for x
    x = 386,482,754.01/26,384.64
  6. Step 6: Final answer
    x = 14,648.02

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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.