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Finding the Fourth Proportional to 22,308.86, 30,781.06 and 13,352.96

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Solution

The fourth proportional to 22,308.86, 30,781.06 and 13,352.96 is: 18,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,308.86 : 30,781.06 = 13,352.96 : x
  2. Step 2: Convert to fraction form
    22,308.86/30,781.06 = 13,352.96/x
  3. Step 3: Cross multiply
    22,308.86x = 30,781.06 × 13,352.96
  4. Step 4: Simplify right side
    22,308.86x = 411,018,075.65
  5. Step 5: Solve for x
    x = 411,018,075.65/22,308.86
  6. Step 6: Final answer
    x = 18,423.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.