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Finding the Fourth Proportional to 15,432.48, 23,122.80 and 12,348

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Solution

The fourth proportional to 15,432.48, 23,122.80 and 12,348 is: 18,501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,432.48 : 23,122.80 = 12,348 : x
  2. Step 2: Convert to fraction form
    15,432.48/23,122.80 = 12,348/x
  3. Step 3: Cross multiply
    15,432.48x = 23,122.80 × 12,348
  4. Step 4: Simplify right side
    15,432.48x = 285,520,334.40
  5. Step 5: Solve for x
    x = 285,520,334.40/15,432.48
  6. Step 6: Final answer
    x = 18,501.26

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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.