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Finding the Fourth Proportional to 25,655.52, 38,483.52 and 8,124

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Solution

The fourth proportional to 25,655.52, 38,483.52 and 8,124 is: 12,186.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,655.52 : 38,483.52 = 8,124 : x
  2. Step 2: Convert to fraction form
    25,655.52/38,483.52 = 8,124/x
  3. Step 3: Cross multiply
    25,655.52x = 38,483.52 × 8,124
  4. Step 4: Simplify right side
    25,655.52x = 312,640,116.48
  5. Step 5: Solve for x
    x = 312,640,116.48/25,655.52
  6. Step 6: Final answer
    x = 12,186.08

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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.