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Finding the Fourth Proportional to 24,733.68, 34,130.76 and 14,661.60

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Solution

The fourth proportional to 24,733.68, 34,130.76 and 14,661.60 is: 20,231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,733.68 : 34,130.76 = 14,661.60 : x
  2. Step 2: Convert to fraction form
    24,733.68/34,130.76 = 14,661.60/x
  3. Step 3: Cross multiply
    24,733.68x = 34,130.76 × 14,661.60
  4. Step 4: Simplify right side
    24,733.68x = 500,411,550.82
  5. Step 5: Solve for x
    x = 500,411,550.82/24,733.68
  6. Step 6: Final answer
    x = 20,231.99

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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.