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Finding the Fourth Proportional to 15,347.68, 23,024 and 4,956.96

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Solution

The fourth proportional to 15,347.68, 23,024 and 4,956.96 is: 7,436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,347.68 : 23,024 = 4,956.96 : x
  2. Step 2: Convert to fraction form
    15,347.68/23,024 = 4,956.96/x
  3. Step 3: Cross multiply
    15,347.68x = 23,024 × 4,956.96
  4. Step 4: Simplify right side
    15,347.68x = 114,129,047.04
  5. Step 5: Solve for x
    x = 114,129,047.04/15,347.68
  6. Step 6: Final answer
    x = 7,436.24

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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.