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Finding the Fourth Proportional to 25,828.80, 38,714.40 and 14,740.80

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Solution

The fourth proportional to 25,828.80, 38,714.40 and 14,740.80 is: 22,094.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,828.80 : 38,714.40 = 14,740.80 : x
  2. Step 2: Convert to fraction form
    25,828.80/38,714.40 = 14,740.80/x
  3. Step 3: Cross multiply
    25,828.80x = 38,714.40 × 14,740.80
  4. Step 4: Simplify right side
    25,828.80x = 570,681,227.52
  5. Step 5: Solve for x
    x = 570,681,227.52/25,828.80
  6. Step 6: Final answer
    x = 22,094.76

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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.