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Finding the Fourth Proportional to 22,505.64, 31,050.18 and 13,070.76

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Solution

The fourth proportional to 22,505.64, 31,050.18 and 13,070.76 is: 18,033.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.64 : 31,050.18 = 13,070.76 : x
  2. Step 2: Convert to fraction form
    22,505.64/31,050.18 = 13,070.76/x
  3. Step 3: Cross multiply
    22,505.64x = 31,050.18 × 13,070.76
  4. Step 4: Simplify right side
    22,505.64x = 405,849,450.74
  5. Step 5: Solve for x
    x = 405,849,450.74/22,505.64
  6. Step 6: Final answer
    x = 18,033.23

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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.