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Finding the Fourth Proportional to 20,702.25, 28,569.71 and 11,271.42

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Solution

The fourth proportional to 20,702.25, 28,569.71 and 11,271.42 is: 15,554.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,702.25 : 28,569.71 = 11,271.42 : x
  2. Step 2: Convert to fraction form
    20,702.25/28,569.71 = 11,271.42/x
  3. Step 3: Cross multiply
    20,702.25x = 28,569.71 × 11,271.42
  4. Step 4: Simplify right side
    20,702.25x = 322,021,228.87
  5. Step 5: Solve for x
    x = 322,021,228.87/20,702.25
  6. Step 6: Final answer
    x = 15,554.89

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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.