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Finding the Fourth Proportional to 16,281, 24,422.54 and 4,595.13

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Solution

The fourth proportional to 16,281, 24,422.54 and 4,595.13 is: 6,892.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,281 : 24,422.54 = 4,595.13 : x
  2. Step 2: Convert to fraction form
    16,281/24,422.54 = 4,595.13/x
  3. Step 3: Cross multiply
    16,281x = 24,422.54 × 4,595.13
  4. Step 4: Simplify right side
    16,281x = 112,224,723.25
  5. Step 5: Solve for x
    x = 112,224,723.25/16,281
  6. Step 6: Final answer
    x = 6,892.99

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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.