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Finding the Fourth Proportional to 15,726.57, 23,592.95 and 5,196.17

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Solution

The fourth proportional to 15,726.57, 23,592.95 and 5,196.17 is: 7,795.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,726.57 : 23,592.95 = 5,196.17 : x
  2. Step 2: Convert to fraction form
    15,726.57/23,592.95 = 5,196.17/x
  3. Step 3: Cross multiply
    15,726.57x = 23,592.95 × 5,196.17
  4. Step 4: Simplify right side
    15,726.57x = 122,592,835.06
  5. Step 5: Solve for x
    x = 122,592,835.06/15,726.57
  6. Step 6: Final answer
    x = 7,795.27

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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.