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Finding the Fourth Proportional to 18,497.68, 25,526.84 and 10,114.20

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Solution

The fourth proportional to 18,497.68, 25,526.84 and 10,114.20 is: 13,957.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,497.68 : 25,526.84 = 10,114.20 : x
  2. Step 2: Convert to fraction form
    18,497.68/25,526.84 = 10,114.20/x
  3. Step 3: Cross multiply
    18,497.68x = 25,526.84 × 10,114.20
  4. Step 4: Simplify right side
    18,497.68x = 258,183,565.13
  5. Step 5: Solve for x
    x = 258,183,565.13/18,497.68
  6. Step 6: Final answer
    x = 13,957.62

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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.