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Finding the Fourth Proportional to 18,892.52, 26,077.50 and 12,178.16

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Solution

The fourth proportional to 18,892.52, 26,077.50 and 12,178.16 is: 16,809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,892.52 : 26,077.50 = 12,178.16 : x
  2. Step 2: Convert to fraction form
    18,892.52/26,077.50 = 12,178.16/x
  3. Step 3: Cross multiply
    18,892.52x = 26,077.50 × 12,178.16
  4. Step 4: Simplify right side
    18,892.52x = 317,575,967.40
  5. Step 5: Solve for x
    x = 317,575,967.40/18,892.52
  6. Step 6: Final answer
    x = 16,809.61

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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.