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Finding the Fourth Proportional to 28,645.76, 42,968.66 and 8,924.31

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Solution

The fourth proportional to 28,645.76, 42,968.66 and 8,924.31 is: 13,386.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,645.76 : 42,968.66 = 8,924.31 : x
  2. Step 2: Convert to fraction form
    28,645.76/42,968.66 = 8,924.31/x
  3. Step 3: Cross multiply
    28,645.76x = 42,968.66 × 8,924.31
  4. Step 4: Simplify right side
    28,645.76x = 383,465,597.50
  5. Step 5: Solve for x
    x = 383,465,597.50/28,645.76
  6. Step 6: Final answer
    x = 13,386.47

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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.