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Finding the Fourth Proportional to 22,087.84, 30,470.48 and 13,129

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Solution

The fourth proportional to 22,087.84, 30,470.48 and 13,129 is: 18,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,087.84 : 30,470.48 = 13,129 : x
  2. Step 2: Convert to fraction form
    22,087.84/30,470.48 = 13,129/x
  3. Step 3: Cross multiply
    22,087.84x = 30,470.48 × 13,129
  4. Step 4: Simplify right side
    22,087.84x = 400,046,931.92
  5. Step 5: Solve for x
    x = 400,046,931.92/22,087.84
  6. Step 6: Final answer
    x = 18,111.64

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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.