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Finding the Fourth Proportional to 21,874.86, 32,797.71 and 10,627.20

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Solution

The fourth proportional to 21,874.86, 32,797.71 and 10,627.20 is: 15,933.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,874.86 : 32,797.71 = 10,627.20 : x
  2. Step 2: Convert to fraction form
    21,874.86/32,797.71 = 10,627.20/x
  3. Step 3: Cross multiply
    21,874.86x = 32,797.71 × 10,627.20
  4. Step 4: Simplify right side
    21,874.86x = 348,547,823.71
  5. Step 5: Solve for x
    x = 348,547,823.71/21,874.86
  6. Step 6: Final answer
    x = 15,933.72

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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.