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Finding the Fourth Proportional to 24,214.01, 36,307.98 and 7,344.68

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Solution

The fourth proportional to 24,214.01, 36,307.98 and 7,344.68 is: 11,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,214.01 : 36,307.98 = 7,344.68 : x
  2. Step 2: Convert to fraction form
    24,214.01/36,307.98 = 7,344.68/x
  3. Step 3: Cross multiply
    24,214.01x = 36,307.98 × 7,344.68
  4. Step 4: Simplify right side
    24,214.01x = 266,670,313.01
  5. Step 5: Solve for x
    x = 266,670,313.01/24,214.01
  6. Step 6: Final answer
    x = 11,013.06

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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.