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Finding the Fourth Proportional to 21,740.40, 30,002.40 and 13,780.80

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Solution

The fourth proportional to 21,740.40, 30,002.40 and 13,780.80 is: 19,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,740.40 : 30,002.40 = 13,780.80 : x
  2. Step 2: Convert to fraction form
    21,740.40/30,002.40 = 13,780.80/x
  3. Step 3: Cross multiply
    21,740.40x = 30,002.40 × 13,780.80
  4. Step 4: Simplify right side
    21,740.40x = 413,457,073.92
  5. Step 5: Solve for x
    x = 413,457,073.92/21,740.40
  6. Step 6: Final answer
    x = 19,017.91

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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.