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Finding the Fourth Proportional to 27,057.99, 40,587.68 and 12,823.13

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Solution

The fourth proportional to 27,057.99, 40,587.68 and 12,823.13 is: 19,235.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,057.99 : 40,587.68 = 12,823.13 : x
  2. Step 2: Convert to fraction form
    27,057.99/40,587.68 = 12,823.13/x
  3. Step 3: Cross multiply
    27,057.99x = 40,587.68 × 12,823.13
  4. Step 4: Simplify right side
    27,057.99x = 520,460,894.10
  5. Step 5: Solve for x
    x = 520,460,894.10/27,057.99
  6. Step 6: Final answer
    x = 19,235.02

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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.