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Finding the Fourth Proportional to 19,152.24, 28,730 and 5,301.24

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Solution

The fourth proportional to 19,152.24, 28,730 and 5,301.24 is: 7,952.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,152.24 : 28,730 = 5,301.24 : x
  2. Step 2: Convert to fraction form
    19,152.24/28,730 = 5,301.24/x
  3. Step 3: Cross multiply
    19,152.24x = 28,730 × 5,301.24
  4. Step 4: Simplify right side
    19,152.24x = 152,304,625.20
  5. Step 5: Solve for x
    x = 152,304,625.20/19,152.24
  6. Step 6: Final answer
    x = 7,952.31

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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.