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Finding the Fourth Proportional to 15,314.17, 22,956.67 and 4,918.63

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Solution

The fourth proportional to 15,314.17, 22,956.67 and 4,918.63 is: 7,373.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314.17 : 22,956.67 = 4,918.63 : x
  2. Step 2: Convert to fraction form
    15,314.17/22,956.67 = 4,918.63/x
  3. Step 3: Cross multiply
    15,314.17x = 22,956.67 × 4,918.63
  4. Step 4: Simplify right side
    15,314.17x = 112,915,365.76
  5. Step 5: Solve for x
    x = 112,915,365.76/15,314.17
  6. Step 6: Final answer
    x = 7,373.26

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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.