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Finding the Fourth Proportional to 22,709.22, 31,341.28 and 13,019.58

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Solution

The fourth proportional to 22,709.22, 31,341.28 and 13,019.58 is: 17,968.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.22 : 31,341.28 = 13,019.58 : x
  2. Step 2: Convert to fraction form
    22,709.22/31,341.28 = 13,019.58/x
  3. Step 3: Cross multiply
    22,709.22x = 31,341.28 × 13,019.58
  4. Step 4: Simplify right side
    22,709.22x = 408,050,302.26
  5. Step 5: Solve for x
    x = 408,050,302.26/22,709.22
  6. Step 6: Final answer
    x = 17,968.49

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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.