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Finding the Fourth Proportional to 21,740.58, 32,585.67 and 10,029.42

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Solution

The fourth proportional to 21,740.58, 32,585.67 and 10,029.42 is: 15,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,740.58 : 32,585.67 = 10,029.42 : x
  2. Step 2: Convert to fraction form
    21,740.58/32,585.67 = 10,029.42/x
  3. Step 3: Cross multiply
    21,740.58x = 32,585.67 × 10,029.42
  4. Step 4: Simplify right side
    21,740.58x = 326,815,370.41
  5. Step 5: Solve for x
    x = 326,815,370.41/21,740.58
  6. Step 6: Final answer
    x = 15,032.50

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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.