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Finding the Fourth Proportional to 28,568.10, 42,852.15 and 9,853.50

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Solution

The fourth proportional to 28,568.10, 42,852.15 and 9,853.50 is: 14,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,568.10 : 42,852.15 = 9,853.50 : x
  2. Step 2: Convert to fraction form
    28,568.10/42,852.15 = 9,853.50/x
  3. Step 3: Cross multiply
    28,568.10x = 42,852.15 × 9,853.50
  4. Step 4: Simplify right side
    28,568.10x = 422,243,445.76
  5. Step 5: Solve for x
    x = 422,243,445.76/28,568.10
  6. Step 6: Final answer
    x = 14,780.25

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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.