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Finding the Fourth Proportional to 22,442.40, 30,970.08 and 12,884.13

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Solution

The fourth proportional to 22,442.40, 30,970.08 and 12,884.13 is: 17,779.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,442.40 : 30,970.08 = 12,884.13 : x
  2. Step 2: Convert to fraction form
    22,442.40/30,970.08 = 12,884.13/x
  3. Step 3: Cross multiply
    22,442.40x = 30,970.08 × 12,884.13
  4. Step 4: Simplify right side
    22,442.40x = 399,022,536.83
  5. Step 5: Solve for x
    x = 399,022,536.83/22,442.40
  6. Step 6: Final answer
    x = 17,779.85

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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.