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Finding the Fourth Proportional to 14,866.76, 20,517.08 and 9,822.13

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Solution

The fourth proportional to 14,866.76, 20,517.08 and 9,822.13 is: 13,555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,866.76 : 20,517.08 = 9,822.13 : x
  2. Step 2: Convert to fraction form
    14,866.76/20,517.08 = 9,822.13/x
  3. Step 3: Cross multiply
    14,866.76x = 20,517.08 × 9,822.13
  4. Step 4: Simplify right side
    14,866.76x = 201,521,497.24
  5. Step 5: Solve for x
    x = 201,521,497.24/14,866.76
  6. Step 6: Final answer
    x = 13,555.17

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1.5x scale

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.