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Finding the Fourth Proportional to 24,944, 34,423.20 and 13,765.76

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Solution

The fourth proportional to 24,944, 34,423.20 and 13,765.76 is: 18,997.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,944 : 34,423.20 = 13,765.76 : x
  2. Step 2: Convert to fraction form
    24,944/34,423.20 = 13,765.76/x
  3. Step 3: Cross multiply
    24,944x = 34,423.20 × 13,765.76
  4. Step 4: Simplify right side
    24,944x = 473,861,509.63
  5. Step 5: Solve for x
    x = 473,861,509.63/24,944
  6. Step 6: Final answer
    x = 18,997.01

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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.