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Finding the Fourth Proportional to 10,298.88, 15,465.60 and 10,218.24

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Solution

The fourth proportional to 10,298.88, 15,465.60 and 10,218.24 is: 15,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.88 : 15,465.60 = 10,218.24 : x
  2. Step 2: Convert to fraction form
    10,298.88/15,465.60 = 10,218.24/x
  3. Step 3: Cross multiply
    10,298.88x = 15,465.60 × 10,218.24
  4. Step 4: Simplify right side
    10,298.88x = 158,031,212.54
  5. Step 5: Solve for x
    x = 158,031,212.54/10,298.88
  6. Step 6: Final answer
    x = 15,344.50

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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.