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Finding the Fourth Proportional to 25,570.50, 38,354.22 and 12,253.02

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Solution

The fourth proportional to 25,570.50, 38,354.22 and 12,253.02 is: 18,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,570.50 : 38,354.22 = 12,253.02 : x
  2. Step 2: Convert to fraction form
    25,570.50/38,354.22 = 12,253.02/x
  3. Step 3: Cross multiply
    25,570.50x = 38,354.22 × 12,253.02
  4. Step 4: Simplify right side
    25,570.50x = 469,955,024.74
  5. Step 5: Solve for x
    x = 469,955,024.74/25,570.50
  6. Step 6: Final answer
    x = 18,378.80

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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.