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Finding the Fourth Proportional to 14,823.18, 22,210.11 and 10,432.80

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Solution

The fourth proportional to 14,823.18, 22,210.11 and 10,432.80 is: 15,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.18 : 22,210.11 = 10,432.80 : x
  2. Step 2: Convert to fraction form
    14,823.18/22,210.11 = 10,432.80/x
  3. Step 3: Cross multiply
    14,823.18x = 22,210.11 × 10,432.80
  4. Step 4: Simplify right side
    14,823.18x = 231,713,635.61
  5. Step 5: Solve for x
    x = 231,713,635.61/14,823.18
  6. Step 6: Final answer
    x = 15,631.84

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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.