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Finding the Fourth Proportional to 16,427.16, 22,663.98 and 9,352.08

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Solution

The fourth proportional to 16,427.16, 22,663.98 and 9,352.08 is: 12,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.16 : 22,663.98 = 9,352.08 : x
  2. Step 2: Convert to fraction form
    16,427.16/22,663.98 = 9,352.08/x
  3. Step 3: Cross multiply
    16,427.16x = 22,663.98 × 9,352.08
  4. Step 4: Simplify right side
    16,427.16x = 211,955,354.08
  5. Step 5: Solve for x
    x = 211,955,354.08/16,427.16
  6. Step 6: Final answer
    x = 12,902.74

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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.