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Finding the Fourth Proportional to 23,505.70, 32,435.80 and 13,432.14

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Solution

The fourth proportional to 23,505.70, 32,435.80 and 13,432.14 is: 18,535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,505.70 : 32,435.80 = 13,432.14 : x
  2. Step 2: Convert to fraction form
    23,505.70/32,435.80 = 13,432.14/x
  3. Step 3: Cross multiply
    23,505.70x = 32,435.80 × 13,432.14
  4. Step 4: Simplify right side
    23,505.70x = 435,682,206.61
  5. Step 5: Solve for x
    x = 435,682,206.61/23,505.70
  6. Step 6: Final answer
    x = 18,535.17

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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.