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Finding the Fourth Proportional to 22,665.63, 34,002.08 and 9,521.76

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Solution

The fourth proportional to 22,665.63, 34,002.08 and 9,521.76 is: 14,284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,665.63 : 34,002.08 = 9,521.76 : x
  2. Step 2: Convert to fraction form
    22,665.63/34,002.08 = 9,521.76/x
  3. Step 3: Cross multiply
    22,665.63x = 34,002.08 × 9,521.76
  4. Step 4: Simplify right side
    22,665.63x = 323,759,645.26
  5. Step 5: Solve for x
    x = 323,759,645.26/22,665.63
  6. Step 6: Final answer
    x = 14,284.17

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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.