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Finding the Fourth Proportional to 21,702.28, 29,952.75 and 12,269.02

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Solution

The fourth proportional to 21,702.28, 29,952.75 and 12,269.02 is: 16,933.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.28 : 29,952.75 = 12,269.02 : x
  2. Step 2: Convert to fraction form
    21,702.28/29,952.75 = 12,269.02/x
  3. Step 3: Cross multiply
    21,702.28x = 29,952.75 × 12,269.02
  4. Step 4: Simplify right side
    21,702.28x = 367,490,888.81
  5. Step 5: Solve for x
    x = 367,490,888.81/21,702.28
  6. Step 6: Final answer
    x = 16,933.28

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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.