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Finding the Fourth Proportional to 26,235.84, 39,353.76 and 9,816

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Solution

The fourth proportional to 26,235.84, 39,353.76 and 9,816 is: 14,724.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,235.84 : 39,353.76 = 9,816 : x
  2. Step 2: Convert to fraction form
    26,235.84/39,353.76 = 9,816/x
  3. Step 3: Cross multiply
    26,235.84x = 39,353.76 × 9,816
  4. Step 4: Simplify right side
    26,235.84x = 386,296,508.16
  5. Step 5: Solve for x
    x = 386,296,508.16/26,235.84
  6. Step 6: Final answer
    x = 14,724.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.