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Finding the Fourth Proportional to 21,878.81, 30,192.05 and 12,319.19

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Solution

The fourth proportional to 21,878.81, 30,192.05 and 12,319.19 is: 17,000.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878.81 : 30,192.05 = 12,319.19 : x
  2. Step 2: Convert to fraction form
    21,878.81/30,192.05 = 12,319.19/x
  3. Step 3: Cross multiply
    21,878.81x = 30,192.05 × 12,319.19
  4. Step 4: Simplify right side
    21,878.81x = 371,941,600.44
  5. Step 5: Solve for x
    x = 371,941,600.44/21,878.81
  6. Step 6: Final answer
    x = 17,000.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.