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Finding the Fourth Proportional to 12,281.22, 16,948.74 and 7,248.36

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Solution

The fourth proportional to 12,281.22, 16,948.74 and 7,248.36 is: 10,003.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,281.22 : 16,948.74 = 7,248.36 : x
  2. Step 2: Convert to fraction form
    12,281.22/16,948.74 = 7,248.36/x
  3. Step 3: Cross multiply
    12,281.22x = 16,948.74 × 7,248.36
  4. Step 4: Simplify right side
    12,281.22x = 122,850,569.07
  5. Step 5: Solve for x
    x = 122,850,569.07/12,281.22
  6. Step 6: Final answer
    x = 10,003.12

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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.