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Finding the Fourth Proportional to 25,412.22, 38,118.06 and 24,784.74

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Solution

The fourth proportional to 25,412.22, 38,118.06 and 24,784.74 is: 37,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,412.22 : 38,118.06 = 24,784.74 : x
  2. Step 2: Convert to fraction form
    25,412.22/38,118.06 = 24,784.74/x
  3. Step 3: Cross multiply
    25,412.22x = 38,118.06 × 24,784.74
  4. Step 4: Simplify right side
    25,412.22x = 944,746,206.40
  5. Step 5: Solve for x
    x = 944,746,206.40/25,412.22
  6. Step 6: Final answer
    x = 37,176.85

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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.