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Finding the Fourth Proportional to 16,102.40, 24,139.20 and 10,558.40

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Solution

The fourth proportional to 16,102.40, 24,139.20 and 10,558.40 is: 15,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.40 : 24,139.20 = 10,558.40 : x
  2. Step 2: Convert to fraction form
    16,102.40/24,139.20 = 10,558.40/x
  3. Step 3: Cross multiply
    16,102.40x = 24,139.20 × 10,558.40
  4. Step 4: Simplify right side
    16,102.40x = 254,871,329.28
  5. Step 5: Solve for x
    x = 254,871,329.28/16,102.40
  6. Step 6: Final answer
    x = 15,828.16

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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.