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Finding the Fourth Proportional to 24,803.64, 34,217.10 and 14,728.86

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Solution

The fourth proportional to 24,803.64, 34,217.10 and 14,728.86 is: 20,318.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,803.64 : 34,217.10 = 14,728.86 : x
  2. Step 2: Convert to fraction form
    24,803.64/34,217.10 = 14,728.86/x
  3. Step 3: Cross multiply
    24,803.64x = 34,217.10 × 14,728.86
  4. Step 4: Simplify right side
    24,803.64x = 503,978,875.51
  5. Step 5: Solve for x
    x = 503,978,875.51/24,803.64
  6. Step 6: Final answer
    x = 20,318.75

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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.