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Finding the Fourth Proportional to 24,423, 33,708.78 and 13,813.08

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Solution

The fourth proportional to 24,423, 33,708.78 and 13,813.08 is: 19,064.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,423 : 33,708.78 = 13,813.08 : x
  2. Step 2: Convert to fraction form
    24,423/33,708.78 = 13,813.08/x
  3. Step 3: Cross multiply
    24,423x = 33,708.78 × 13,813.08
  4. Step 4: Simplify right side
    24,423x = 465,622,074.84
  5. Step 5: Solve for x
    x = 465,622,074.84/24,423
  6. Step 6: Final answer
    x = 19,064.90

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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.