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Finding the Fourth Proportional to 22,156.10, 30,570.65 and 13,206.58

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Solution

The fourth proportional to 22,156.10, 30,570.65 and 13,206.58 is: 18,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,156.10 : 30,570.65 = 13,206.58 : x
  2. Step 2: Convert to fraction form
    22,156.10/30,570.65 = 13,206.58/x
  3. Step 3: Cross multiply
    22,156.10x = 30,570.65 × 13,206.58
  4. Step 4: Simplify right side
    22,156.10x = 403,733,641.94
  5. Step 5: Solve for x
    x = 403,733,641.94/22,156.10
  6. Step 6: Final answer
    x = 18,222.24

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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.