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Finding the Fourth Proportional to 22,592.34, 33,888.16 and 7,009.96

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Solution

The fourth proportional to 22,592.34, 33,888.16 and 7,009.96 is: 10,514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,592.34 : 33,888.16 = 7,009.96 : x
  2. Step 2: Convert to fraction form
    22,592.34/33,888.16 = 7,009.96/x
  3. Step 3: Cross multiply
    22,592.34x = 33,888.16 × 7,009.96
  4. Step 4: Simplify right side
    22,592.34x = 237,554,646.07
  5. Step 5: Solve for x
    x = 237,554,646.07/22,592.34
  6. Step 6: Final answer
    x = 10,514.83

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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.