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Finding the Fourth Proportional to 21,342.86, 32,005.74 and 8,854.40

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Solution

The fourth proportional to 21,342.86, 32,005.74 and 8,854.40 is: 13,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,342.86 : 32,005.74 = 8,854.40 : x
  2. Step 2: Convert to fraction form
    21,342.86/32,005.74 = 8,854.40/x
  3. Step 3: Cross multiply
    21,342.86x = 32,005.74 × 8,854.40
  4. Step 4: Simplify right side
    21,342.86x = 283,391,624.26
  5. Step 5: Solve for x
    x = 283,391,624.26/21,342.86
  6. Step 6: Final answer
    x = 13,278.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.