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Finding the Fourth Proportional to 22,715.58, 34,098.93 and 9,579

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Solution

The fourth proportional to 22,715.58, 34,098.93 and 9,579 is: 14,379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,715.58 : 34,098.93 = 9,579 : x
  2. Step 2: Convert to fraction form
    22,715.58/34,098.93 = 9,579/x
  3. Step 3: Cross multiply
    22,715.58x = 34,098.93 × 9,579
  4. Step 4: Simplify right side
    22,715.58x = 326,633,650.47
  5. Step 5: Solve for x
    x = 326,633,650.47/22,715.58
  6. Step 6: Final answer
    x = 14,379.28

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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.