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Finding the Fourth Proportional to 24,376.71, 36,567.81 and 9,583.68

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Solution

The fourth proportional to 24,376.71, 36,567.81 and 9,583.68 is: 14,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.71 : 36,567.81 = 9,583.68 : x
  2. Step 2: Convert to fraction form
    24,376.71/36,567.81 = 9,583.68/x
  3. Step 3: Cross multiply
    24,376.71x = 36,567.81 × 9,583.68
  4. Step 4: Simplify right side
    24,376.71x = 350,454,189.34
  5. Step 5: Solve for x
    x = 350,454,189.34/24,376.71
  6. Step 6: Final answer
    x = 14,376.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.