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Finding the Fourth Proportional to 34,616.16, 51,924.24 and 14,897.52

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Solution

The fourth proportional to 34,616.16, 51,924.24 and 14,897.52 is: 22,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,616.16 : 51,924.24 = 14,897.52 : x
  2. Step 2: Convert to fraction form
    34,616.16/51,924.24 = 14,897.52/x
  3. Step 3: Cross multiply
    34,616.16x = 51,924.24 × 14,897.52
  4. Step 4: Simplify right side
    34,616.16x = 773,542,403.88
  5. Step 5: Solve for x
    x = 773,542,403.88/34,616.16
  6. Step 6: Final answer
    x = 22,346.28

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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.