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Finding the Fourth Proportional to 28,565.60, 42,853.60 and 9,848.32

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Solution

The fourth proportional to 28,565.60, 42,853.60 and 9,848.32 is: 14,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,565.60 : 42,853.60 = 9,848.32 : x
  2. Step 2: Convert to fraction form
    28,565.60/42,853.60 = 9,848.32/x
  3. Step 3: Cross multiply
    28,565.60x = 42,853.60 × 9,848.32
  4. Step 4: Simplify right side
    28,565.60x = 422,035,965.95
  5. Step 5: Solve for x
    x = 422,035,965.95/28,565.60
  6. Step 6: Final answer
    x = 14,774.27

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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.