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Finding the Fourth Proportional to 28,298.52, 42,447.80 and 9,830.52

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Solution

The fourth proportional to 28,298.52, 42,447.80 and 9,830.52 is: 14,745.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,298.52 : 42,447.80 = 9,830.52 : x
  2. Step 2: Convert to fraction form
    28,298.52/42,447.80 = 9,830.52/x
  3. Step 3: Cross multiply
    28,298.52x = 42,447.80 × 9,830.52
  4. Step 4: Simplify right side
    28,298.52x = 417,283,946.86
  5. Step 5: Solve for x
    x = 417,283,946.86/28,298.52
  6. Step 6: Final answer
    x = 14,745.79

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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.