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Finding the Fourth Proportional to 16,274.68, 24,411.90 and 4,587.82

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Solution

The fourth proportional to 16,274.68, 24,411.90 and 4,587.82 is: 6,881.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.68 : 24,411.90 = 4,587.82 : x
  2. Step 2: Convert to fraction form
    16,274.68/24,411.90 = 4,587.82/x
  3. Step 3: Cross multiply
    16,274.68x = 24,411.90 × 4,587.82
  4. Step 4: Simplify right side
    16,274.68x = 111,997,403.06
  5. Step 5: Solve for x
    x = 111,997,403.06/16,274.68
  6. Step 6: Final answer
    x = 6,881.70

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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.