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Finding the Fourth Proportional to 15,318.74, 22,978.71 and 6,999.23

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Solution

The fourth proportional to 15,318.74, 22,978.71 and 6,999.23 is: 10,499.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,318.74 : 22,978.71 = 6,999.23 : x
  2. Step 2: Convert to fraction form
    15,318.74/22,978.71 = 6,999.23/x
  3. Step 3: Cross multiply
    15,318.74x = 22,978.71 × 6,999.23
  4. Step 4: Simplify right side
    15,318.74x = 160,833,161.50
  5. Step 5: Solve for x
    x = 160,833,161.50/15,318.74
  6. Step 6: Final answer
    x = 10,499.12

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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.