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Finding the Fourth Proportional to 24,457.47, 36,678.27 and 7,813.59

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Solution

The fourth proportional to 24,457.47, 36,678.27 and 7,813.59 is: 11,717.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,457.47 : 36,678.27 = 7,813.59 : x
  2. Step 2: Convert to fraction form
    24,457.47/36,678.27 = 7,813.59/x
  3. Step 3: Cross multiply
    24,457.47x = 36,678.27 × 7,813.59
  4. Step 4: Simplify right side
    24,457.47x = 286,588,963.69
  5. Step 5: Solve for x
    x = 286,588,963.69/24,457.47
  6. Step 6: Final answer
    x = 11,717.85

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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.