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Finding the Fourth Proportional to 15,740.93, 23,605.72 and 5,209.01

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Solution

The fourth proportional to 15,740.93, 23,605.72 and 5,209.01 is: 7,811.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,740.93 : 23,605.72 = 5,209.01 : x
  2. Step 2: Convert to fraction form
    15,740.93/23,605.72 = 5,209.01/x
  3. Step 3: Cross multiply
    15,740.93x = 23,605.72 × 5,209.01
  4. Step 4: Simplify right side
    15,740.93x = 122,962,313.51
  5. Step 5: Solve for x
    x = 122,962,313.51/15,740.93
  6. Step 6: Final answer
    x = 7,811.63

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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.