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Finding the Fourth Proportional to 25,702.48, 38,553.52 and 13,226

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Solution

The fourth proportional to 25,702.48, 38,553.52 and 13,226 is: 19,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,702.48 : 38,553.52 = 13,226 : x
  2. Step 2: Convert to fraction form
    25,702.48/38,553.52 = 13,226/x
  3. Step 3: Cross multiply
    25,702.48x = 38,553.52 × 13,226
  4. Step 4: Simplify right side
    25,702.48x = 509,908,855.52
  5. Step 5: Solve for x
    x = 509,908,855.52/25,702.48
  6. Step 6: Final answer
    x = 19,838.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.