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Finding the Fourth Proportional to 15,928.50, 23,897.79 and 7,164.18

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Solution

The fourth proportional to 15,928.50, 23,897.79 and 7,164.18 is: 10,748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,928.50 : 23,897.79 = 7,164.18 : x
  2. Step 2: Convert to fraction form
    15,928.50/23,897.79 = 7,164.18/x
  3. Step 3: Cross multiply
    15,928.50x = 23,897.79 × 7,164.18
  4. Step 4: Simplify right side
    15,928.50x = 171,208,069.16
  5. Step 5: Solve for x
    x = 171,208,069.16/15,928.50
  6. Step 6: Final answer
    x = 10,748.54

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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.