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Finding the Fourth Proportional to 16,015.40, 24,008.70 and 10,471.40

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Solution

The fourth proportional to 16,015.40, 24,008.70 and 10,471.40 is: 15,697.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,015.40 : 24,008.70 = 10,471.40 : x
  2. Step 2: Convert to fraction form
    16,015.40/24,008.70 = 10,471.40/x
  3. Step 3: Cross multiply
    16,015.40x = 24,008.70 × 10,471.40
  4. Step 4: Simplify right side
    16,015.40x = 251,404,701.18
  5. Step 5: Solve for x
    x = 251,404,701.18/16,015.40
  6. Step 6: Final answer
    x = 15,697.68

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1.5x scale

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.