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Finding the Fourth Proportional to 27,509.72, 37,972.44 and 16,178.72

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Solution

The fourth proportional to 27,509.72, 37,972.44 and 16,178.72 is: 22,331.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.72 : 37,972.44 = 16,178.72 : x
  2. Step 2: Convert to fraction form
    27,509.72/37,972.44 = 16,178.72/x
  3. Step 3: Cross multiply
    27,509.72x = 37,972.44 × 16,178.72
  4. Step 4: Simplify right side
    27,509.72x = 614,345,284.61
  5. Step 5: Solve for x
    x = 614,345,284.61/27,509.72
  6. Step 6: Final answer
    x = 22,331.94

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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.