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Finding the Fourth Proportional to 15,235.38, 22,802.40 and 13,408.47

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Solution

The fourth proportional to 15,235.38, 22,802.40 and 13,408.47 is: 20,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,235.38 : 22,802.40 = 13,408.47 : x
  2. Step 2: Convert to fraction form
    15,235.38/22,802.40 = 13,408.47/x
  3. Step 3: Cross multiply
    15,235.38x = 22,802.40 × 13,408.47
  4. Step 4: Simplify right side
    15,235.38x = 305,745,296.33
  5. Step 5: Solve for x
    x = 305,745,296.33/15,235.38
  6. Step 6: Final answer
    x = 20,068.11

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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.