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Finding the Fourth Proportional to 17,827.32, 24,602.10 and 9,761.74

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Solution

The fourth proportional to 17,827.32, 24,602.10 and 9,761.74 is: 13,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.32 : 24,602.10 = 9,761.74 : x
  2. Step 2: Convert to fraction form
    17,827.32/24,602.10 = 9,761.74/x
  3. Step 3: Cross multiply
    17,827.32x = 24,602.10 × 9,761.74
  4. Step 4: Simplify right side
    17,827.32x = 240,159,303.65
  5. Step 5: Solve for x
    x = 240,159,303.65/17,827.32
  6. Step 6: Final answer
    x = 13,471.42

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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.