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Finding the Fourth Proportional to 15,854.93, 23,783.96 and 5,862.30

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Solution

The fourth proportional to 15,854.93, 23,783.96 and 5,862.30 is: 8,794.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.93 : 23,783.96 = 5,862.30 : x
  2. Step 2: Convert to fraction form
    15,854.93/23,783.96 = 5,862.30/x
  3. Step 3: Cross multiply
    15,854.93x = 23,783.96 × 5,862.30
  4. Step 4: Simplify right side
    15,854.93x = 139,428,634.17
  5. Step 5: Solve for x
    x = 139,428,634.17/15,854.93
  6. Step 6: Final answer
    x = 8,794.02

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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.