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Finding the Fourth Proportional to 25,275.50, 37,911.65 and 9,872.19

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Solution

The fourth proportional to 25,275.50, 37,911.65 and 9,872.19 is: 14,807.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,275.50 : 37,911.65 = 9,872.19 : x
  2. Step 2: Convert to fraction form
    25,275.50/37,911.65 = 9,872.19/x
  3. Step 3: Cross multiply
    25,275.50x = 37,911.65 × 9,872.19
  4. Step 4: Simplify right side
    25,275.50x = 374,271,012.01
  5. Step 5: Solve for x
    x = 374,271,012.01/25,275.50
  6. Step 6: Final answer
    x = 14,807.66

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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.