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Finding the Fourth Proportional to 12,718.16, 19,042 and 9,588.68

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Solution

The fourth proportional to 12,718.16, 19,042 and 9,588.68 is: 14,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,718.16 : 19,042 = 9,588.68 : x
  2. Step 2: Convert to fraction form
    12,718.16/19,042 = 9,588.68/x
  3. Step 3: Cross multiply
    12,718.16x = 19,042 × 9,588.68
  4. Step 4: Simplify right side
    12,718.16x = 182,587,644.56
  5. Step 5: Solve for x
    x = 182,587,644.56/12,718.16
  6. Step 6: Final answer
    x = 14,356.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.