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Finding the Fourth Proportional to 24,733.77, 34,132.23 and 13,402.99

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Solution

The fourth proportional to 24,733.77, 34,132.23 and 13,402.99 is: 18,495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,733.77 : 34,132.23 = 13,402.99 : x
  2. Step 2: Convert to fraction form
    24,733.77/34,132.23 = 13,402.99/x
  3. Step 3: Cross multiply
    24,733.77x = 34,132.23 × 13,402.99
  4. Step 4: Simplify right side
    24,733.77x = 457,473,937.37
  5. Step 5: Solve for x
    x = 457,473,937.37/24,733.77
  6. Step 6: Final answer
    x = 18,495.92

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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.