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Finding the Fourth Proportional to 14,306.77, 21,432.48 and 8,047.77

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Solution

The fourth proportional to 14,306.77, 21,432.48 and 8,047.77 is: 12,056.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.77 : 21,432.48 = 8,047.77 : x
  2. Step 2: Convert to fraction form
    14,306.77/21,432.48 = 8,047.77/x
  3. Step 3: Cross multiply
    14,306.77x = 21,432.48 × 8,047.77
  4. Step 4: Simplify right side
    14,306.77x = 172,483,669.57
  5. Step 5: Solve for x
    x = 172,483,669.57/14,306.77
  6. Step 6: Final answer
    x = 12,056.09

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1.5x scale

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.