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Finding the Fourth Proportional to 15,642.86, 23,480.08 and 13,875.50

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Solution

The fourth proportional to 15,642.86, 23,480.08 and 13,875.50 is: 20,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,642.86 : 23,480.08 = 13,875.50 : x
  2. Step 2: Convert to fraction form
    15,642.86/23,480.08 = 13,875.50/x
  3. Step 3: Cross multiply
    15,642.86x = 23,480.08 × 13,875.50
  4. Step 4: Simplify right side
    15,642.86x = 325,797,874.05
  5. Step 5: Solve for x
    x = 325,797,874.05/15,642.86
  6. Step 6: Final answer
    x = 20,827.26

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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.