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Finding the Fourth Proportional to 24,774.68, 37,165.89 and 8,130.93

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Solution

The fourth proportional to 24,774.68, 37,165.89 and 8,130.93 is: 12,197.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,774.68 : 37,165.89 = 8,130.93 : x
  2. Step 2: Convert to fraction form
    24,774.68/37,165.89 = 8,130.93/x
  3. Step 3: Cross multiply
    24,774.68x = 37,165.89 × 8,130.93
  4. Step 4: Simplify right side
    24,774.68x = 302,193,141.10
  5. Step 5: Solve for x
    x = 302,193,141.10/24,774.68
  6. Step 6: Final answer
    x = 12,197.66

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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.