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Finding the Fourth Proportional to 14,600.19, 20,153.01 and 10,822.14

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Solution

The fourth proportional to 14,600.19, 20,153.01 and 10,822.14 is: 14,938.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,600.19 : 20,153.01 = 10,822.14 : x
  2. Step 2: Convert to fraction form
    14,600.19/20,153.01 = 10,822.14/x
  3. Step 3: Cross multiply
    14,600.19x = 20,153.01 × 10,822.14
  4. Step 4: Simplify right side
    14,600.19x = 218,098,695.64
  5. Step 5: Solve for x
    x = 218,098,695.64/14,600.19
  6. Step 6: Final answer
    x = 14,938.07

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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.