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Finding the Fourth Proportional to 14,829.66, 20,468.43 and 8,864.01

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Solution

The fourth proportional to 14,829.66, 20,468.43 and 8,864.01 is: 12,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,829.66 : 20,468.43 = 8,864.01 : x
  2. Step 2: Convert to fraction form
    14,829.66/20,468.43 = 8,864.01/x
  3. Step 3: Cross multiply
    14,829.66x = 20,468.43 × 8,864.01
  4. Step 4: Simplify right side
    14,829.66x = 181,432,368.20
  5. Step 5: Solve for x
    x = 181,432,368.20/14,829.66
  6. Step 6: Final answer
    x = 12,234.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.