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Finding the Fourth Proportional to 16,384.38, 24,574.53 and 5,289.93

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Solution

The fourth proportional to 16,384.38, 24,574.53 and 5,289.93 is: 7,934.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.38 : 24,574.53 = 5,289.93 : x
  2. Step 2: Convert to fraction form
    16,384.38/24,574.53 = 5,289.93/x
  3. Step 3: Cross multiply
    16,384.38x = 24,574.53 × 5,289.93
  4. Step 4: Simplify right side
    16,384.38x = 129,997,543.48
  5. Step 5: Solve for x
    x = 129,997,543.48/16,384.38
  6. Step 6: Final answer
    x = 7,934.24

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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.