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Finding the Fourth Proportional to 23,068.16, 34,616.24 and 9,216

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Solution

The fourth proportional to 23,068.16, 34,616.24 and 9,216 is: 13,829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,068.16 : 34,616.24 = 9,216 : x
  2. Step 2: Convert to fraction form
    23,068.16/34,616.24 = 9,216/x
  3. Step 3: Cross multiply
    23,068.16x = 34,616.24 × 9,216
  4. Step 4: Simplify right side
    23,068.16x = 319,023,267.84
  5. Step 5: Solve for x
    x = 319,023,267.84/23,068.16
  6. Step 6: Final answer
    x = 13,829.59

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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.