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Finding the Fourth Proportional to 15,386.74, 23,070.25 and 6,499.66

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Solution

The fourth proportional to 15,386.74, 23,070.25 and 6,499.66 is: 9,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,386.74 : 23,070.25 = 6,499.66 : x
  2. Step 2: Convert to fraction form
    15,386.74/23,070.25 = 6,499.66/x
  3. Step 3: Cross multiply
    15,386.74x = 23,070.25 × 6,499.66
  4. Step 4: Simplify right side
    15,386.74x = 149,948,781.12
  5. Step 5: Solve for x
    x = 149,948,781.12/15,386.74
  6. Step 6: Final answer
    x = 9,745.32

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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.