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Finding the Fourth Proportional to 22,461.71, 33,681.83 and 7,666.65

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Solution

The fourth proportional to 22,461.71, 33,681.83 and 7,666.65 is: 11,496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,461.71 : 33,681.83 = 7,666.65 : x
  2. Step 2: Convert to fraction form
    22,461.71/33,681.83 = 7,666.65/x
  3. Step 3: Cross multiply
    22,461.71x = 33,681.83 × 7,666.65
  4. Step 4: Simplify right side
    22,461.71x = 258,226,763.64
  5. Step 5: Solve for x
    x = 258,226,763.64/22,461.71
  6. Step 6: Final answer
    x = 11,496.31

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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.