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Finding the Fourth Proportional to 15,758.38, 21,746.13 and 8,588.14

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Solution

The fourth proportional to 15,758.38, 21,746.13 and 8,588.14 is: 11,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.38 : 21,746.13 = 8,588.14 : x
  2. Step 2: Convert to fraction form
    15,758.38/21,746.13 = 8,588.14/x
  3. Step 3: Cross multiply
    15,758.38x = 21,746.13 × 8,588.14
  4. Step 4: Simplify right side
    15,758.38x = 186,758,808.90
  5. Step 5: Solve for x
    x = 186,758,808.90/15,758.38
  6. Step 6: Final answer
    x = 11,851.40

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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.