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Finding the Fourth Proportional to 15,154.25, 22,725.90 and 6,384.38

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Solution

The fourth proportional to 15,154.25, 22,725.90 and 6,384.38 is: 9,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,154.25 : 22,725.90 = 6,384.38 : x
  2. Step 2: Convert to fraction form
    15,154.25/22,725.90 = 6,384.38/x
  3. Step 3: Cross multiply
    15,154.25x = 22,725.90 × 6,384.38
  4. Step 4: Simplify right side
    15,154.25x = 145,090,667.81
  5. Step 5: Solve for x
    x = 145,090,667.81/15,154.25
  6. Step 6: Final answer
    x = 9,574.26

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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.