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Finding the Fourth Proportional to 15,017, 22,525.58 and 4,073

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Solution

The fourth proportional to 15,017, 22,525.58 and 4,073 is: 6,109.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,017 : 22,525.58 = 4,073 : x
  2. Step 2: Convert to fraction form
    15,017/22,525.58 = 4,073/x
  3. Step 3: Cross multiply
    15,017x = 22,525.58 × 4,073
  4. Step 4: Simplify right side
    15,017x = 91,746,687.34
  5. Step 5: Solve for x
    x = 91,746,687.34/15,017
  6. Step 6: Final answer
    x = 6,109.52

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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.