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Finding the Fourth Proportional to 15,179, 22,752.86 and 5,816.84

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Solution

The fourth proportional to 15,179, 22,752.86 and 5,816.84 is: 8,719.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,179 : 22,752.86 = 5,816.84 : x
  2. Step 2: Convert to fraction form
    15,179/22,752.86 = 5,816.84/x
  3. Step 3: Cross multiply
    15,179x = 22,752.86 × 5,816.84
  4. Step 4: Simplify right side
    15,179x = 132,349,746.16
  5. Step 5: Solve for x
    x = 132,349,746.16/15,179
  6. Step 6: Final answer
    x = 8,719.27

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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.