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Finding the Fourth Proportional to 19,152, 28,729.68 and 5,301.12

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Solution

The fourth proportional to 19,152, 28,729.68 and 5,301.12 is: 7,952.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,152 : 28,729.68 = 5,301.12 : x
  2. Step 2: Convert to fraction form
    19,152/28,729.68 = 5,301.12/x
  3. Step 3: Cross multiply
    19,152x = 28,729.68 × 5,301.12
  4. Step 4: Simplify right side
    19,152x = 152,299,481.24
  5. Step 5: Solve for x
    x = 152,299,481.24/19,152
  6. Step 6: Final answer
    x = 7,952.15

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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.