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Finding the Fourth Proportional to 15,665.83, 23,503.62 and 5,135.93

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Solution

The fourth proportional to 15,665.83, 23,503.62 and 5,135.93 is: 7,705.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,665.83 : 23,503.62 = 5,135.93 : x
  2. Step 2: Convert to fraction form
    15,665.83/23,503.62 = 5,135.93/x
  3. Step 3: Cross multiply
    15,665.83x = 23,503.62 × 5,135.93
  4. Step 4: Simplify right side
    15,665.83x = 120,712,936.95
  5. Step 5: Solve for x
    x = 120,712,936.95/15,665.83
  6. Step 6: Final answer
    x = 7,705.49

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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.