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Finding the Fourth Proportional to 19,752.86, 27,242.69 and 14,085.79

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Solution

The fourth proportional to 19,752.86, 27,242.69 and 14,085.79 is: 19,426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,752.86 : 27,242.69 = 14,085.79 : x
  2. Step 2: Convert to fraction form
    19,752.86/27,242.69 = 14,085.79/x
  3. Step 3: Cross multiply
    19,752.86x = 27,242.69 × 14,085.79
  4. Step 4: Simplify right side
    19,752.86x = 383,734,810.38
  5. Step 5: Solve for x
    x = 383,734,810.38/19,752.86
  6. Step 6: Final answer
    x = 19,426.80

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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.