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Finding the Fourth Proportional to 16,253.06, 22,430.04 and 9,538.98

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Solution

The fourth proportional to 16,253.06, 22,430.04 and 9,538.98 is: 13,164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,253.06 : 22,430.04 = 9,538.98 : x
  2. Step 2: Convert to fraction form
    16,253.06/22,430.04 = 9,538.98/x
  3. Step 3: Cross multiply
    16,253.06x = 22,430.04 × 9,538.98
  4. Step 4: Simplify right side
    16,253.06x = 213,959,702.96
  5. Step 5: Solve for x
    x = 213,959,702.96/16,253.06
  6. Step 6: Final answer
    x = 13,164.27

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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.