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Finding the Fourth Proportional to 12,875.22, 17,767.72 and 7,209.95

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Solution

The fourth proportional to 12,875.22, 17,767.72 and 7,209.95 is: 9,949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.22 : 17,767.72 = 7,209.95 : x
  2. Step 2: Convert to fraction form
    12,875.22/17,767.72 = 7,209.95/x
  3. Step 3: Cross multiply
    12,875.22x = 17,767.72 × 7,209.95
  4. Step 4: Simplify right side
    12,875.22x = 128,104,372.81
  5. Step 5: Solve for x
    x = 128,104,372.81/12,875.22
  6. Step 6: Final answer
    x = 9,949.68

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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.