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Finding the Fourth Proportional to 17,776.71, 24,510.74 and 11,798.91

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Solution

The fourth proportional to 17,776.71, 24,510.74 and 11,798.91 is: 16,268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,776.71 : 24,510.74 = 11,798.91 : x
  2. Step 2: Convert to fraction form
    17,776.71/24,510.74 = 11,798.91/x
  3. Step 3: Cross multiply
    17,776.71x = 24,510.74 × 11,798.91
  4. Step 4: Simplify right side
    17,776.71x = 289,199,956.30
  5. Step 5: Solve for x
    x = 289,199,956.30/17,776.71
  6. Step 6: Final answer
    x = 16,268.47

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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.