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Finding the Fourth Proportional to 15,316.25, 22,979.85 and 7,530.53

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Solution

The fourth proportional to 15,316.25, 22,979.85 and 7,530.53 is: 11,298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,316.25 : 22,979.85 = 7,530.53 : x
  2. Step 2: Convert to fraction form
    15,316.25/22,979.85 = 7,530.53/x
  3. Step 3: Cross multiply
    15,316.25x = 22,979.85 × 7,530.53
  4. Step 4: Simplify right side
    15,316.25x = 173,050,449.82
  5. Step 5: Solve for x
    x = 173,050,449.82/15,316.25
  6. Step 6: Final answer
    x = 11,298.49

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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.