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Finding the Fourth Proportional to 22,459.39, 33,693.14 and 9,312.82

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Solution

The fourth proportional to 22,459.39, 33,693.14 and 9,312.82 is: 13,970.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,459.39 : 33,693.14 = 9,312.82 : x
  2. Step 2: Convert to fraction form
    22,459.39/33,693.14 = 9,312.82/x
  3. Step 3: Cross multiply
    22,459.39x = 33,693.14 × 9,312.82
  4. Step 4: Simplify right side
    22,459.39x = 313,778,101.49
  5. Step 5: Solve for x
    x = 313,778,101.49/22,459.39
  6. Step 6: Final answer
    x = 13,970.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.