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Finding the Fourth Proportional to 10,224.41, 15,332.74 and 4,673.87

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Solution

The fourth proportional to 10,224.41, 15,332.74 and 4,673.87 is: 7,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.41 : 15,332.74 = 4,673.87 : x
  2. Step 2: Convert to fraction form
    10,224.41/15,332.74 = 4,673.87/x
  3. Step 3: Cross multiply
    10,224.41x = 15,332.74 × 4,673.87
  4. Step 4: Simplify right side
    10,224.41x = 71,663,145.16
  5. Step 5: Solve for x
    x = 71,663,145.16/10,224.41
  6. Step 6: Final answer
    x = 7,009.02

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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.