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Finding the Fourth Proportional to 22,541.16, 31,106.53 and 12,468.81

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Solution

The fourth proportional to 22,541.16, 31,106.53 and 12,468.81 is: 17,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,541.16 : 31,106.53 = 12,468.81 : x
  2. Step 2: Convert to fraction form
    22,541.16/31,106.53 = 12,468.81/x
  3. Step 3: Cross multiply
    22,541.16x = 31,106.53 × 12,468.81
  4. Step 4: Simplify right side
    22,541.16x = 387,861,225.62
  5. Step 5: Solve for x
    x = 387,861,225.62/22,541.16
  6. Step 6: Final answer
    x = 17,206.80

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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.