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Finding the Fourth Proportional to 14,823.50, 20,456.51 and 8,363.18

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Solution

The fourth proportional to 14,823.50, 20,456.51 and 8,363.18 is: 11,541.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.50 : 20,456.51 = 8,363.18 : x
  2. Step 2: Convert to fraction form
    14,823.50/20,456.51 = 8,363.18/x
  3. Step 3: Cross multiply
    14,823.50x = 20,456.51 × 8,363.18
  4. Step 4: Simplify right side
    14,823.50x = 171,081,484.63
  5. Step 5: Solve for x
    x = 171,081,484.63/14,823.50
  6. Step 6: Final answer
    x = 11,541.24

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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.