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Finding the Fourth Proportional to 26,560, 36,652.80 and 14,784

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Solution

The fourth proportional to 26,560, 36,652.80 and 14,784 is: 20,401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,560 : 36,652.80 = 14,784 : x
  2. Step 2: Convert to fraction form
    26,560/36,652.80 = 14,784/x
  3. Step 3: Cross multiply
    26,560x = 36,652.80 × 14,784
  4. Step 4: Simplify right side
    26,560x = 541,874,995.20
  5. Step 5: Solve for x
    x = 541,874,995.20/26,560
  6. Step 6: Final answer
    x = 20,401.92

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Why These Related Problems?

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