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Finding the Fourth Proportional to 12,301.04, 18,435.98 and 7,857

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Solution

The fourth proportional to 12,301.04, 18,435.98 and 7,857 is: 11,775.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,301.04 : 18,435.98 = 7,857 : x
  2. Step 2: Convert to fraction form
    12,301.04/18,435.98 = 7,857/x
  3. Step 3: Cross multiply
    12,301.04x = 18,435.98 × 7,857
  4. Step 4: Simplify right side
    12,301.04x = 144,851,494.86
  5. Step 5: Solve for x
    x = 144,851,494.86/12,301.04
  6. Step 6: Final answer
    x = 11,775.55

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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.