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Finding the Fourth Proportional to 22,055.69, 30,432.11 and 13,106.21

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Solution

The fourth proportional to 22,055.69, 30,432.11 and 13,106.21 is: 18,083.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,055.69 : 30,432.11 = 13,106.21 : x
  2. Step 2: Convert to fraction form
    22,055.69/30,432.11 = 13,106.21/x
  3. Step 3: Cross multiply
    22,055.69x = 30,432.11 × 13,106.21
  4. Step 4: Simplify right side
    22,055.69x = 398,849,406.71
  5. Step 5: Solve for x
    x = 398,849,406.71/22,055.69
  6. Step 6: Final answer
    x = 18,083.74

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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.