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Finding the Fourth Proportional to 22,712.84, 34,070.62 and 9,566.23

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Solution

The fourth proportional to 22,712.84, 34,070.62 and 9,566.23 is: 14,349.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,712.84 : 34,070.62 = 9,566.23 : x
  2. Step 2: Convert to fraction form
    22,712.84/34,070.62 = 9,566.23/x
  3. Step 3: Cross multiply
    22,712.84x = 34,070.62 × 9,566.23
  4. Step 4: Simplify right side
    22,712.84x = 325,927,339.33
  5. Step 5: Solve for x
    x = 325,927,339.33/22,712.84
  6. Step 6: Final answer
    x = 14,349.92

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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.