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Finding the Fourth Proportional to 15,046.21, 22,572.93 and 4,657.96

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Solution

The fourth proportional to 15,046.21, 22,572.93 and 4,657.96 is: 6,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,046.21 : 22,572.93 = 4,657.96 : x
  2. Step 2: Convert to fraction form
    15,046.21/22,572.93 = 4,657.96/x
  3. Step 3: Cross multiply
    15,046.21x = 22,572.93 × 4,657.96
  4. Step 4: Simplify right side
    15,046.21x = 105,143,805.02
  5. Step 5: Solve for x
    x = 105,143,805.02/15,046.21
  6. Step 6: Final answer
    x = 6,988.06

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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.