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Finding the Fourth Proportional to 14,987.74, 22,482 and 5,126.96

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Solution

The fourth proportional to 14,987.74, 22,482 and 5,126.96 is: 7,690.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,987.74 : 22,482 = 5,126.96 : x
  2. Step 2: Convert to fraction form
    14,987.74/22,482 = 5,126.96/x
  3. Step 3: Cross multiply
    14,987.74x = 22,482 × 5,126.96
  4. Step 4: Simplify right side
    14,987.74x = 115,264,314.72
  5. Step 5: Solve for x
    x = 115,264,314.72/14,987.74
  6. Step 6: Final answer
    x = 7,690.57

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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.