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Finding the Fourth Proportional to 22,533.61, 31,095.16 and 12,461.46

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Solution

The fourth proportional to 22,533.61, 31,095.16 and 12,461.46 is: 17,196.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,533.61 : 31,095.16 = 12,461.46 : x
  2. Step 2: Convert to fraction form
    22,533.61/31,095.16 = 12,461.46/x
  3. Step 3: Cross multiply
    22,533.61x = 31,095.16 × 12,461.46
  4. Step 4: Simplify right side
    22,533.61x = 387,491,119.68
  5. Step 5: Solve for x
    x = 387,491,119.68/22,533.61
  6. Step 6: Final answer
    x = 17,196.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.