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Finding the Fourth Proportional to 24,306.53, 33,543 and 13,128.53

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Solution

The fourth proportional to 24,306.53, 33,543 and 13,128.53 is: 18,117.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,306.53 : 33,543 = 13,128.53 : x
  2. Step 2: Convert to fraction form
    24,306.53/33,543 = 13,128.53/x
  3. Step 3: Cross multiply
    24,306.53x = 33,543 × 13,128.53
  4. Step 4: Simplify right side
    24,306.53x = 440,370,281.79
  5. Step 5: Solve for x
    x = 440,370,281.79/24,306.53
  6. Step 6: Final answer
    x = 18,117.37

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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.