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Finding the Fourth Proportional to 15,733.25, 23,599.88 and 6,499.49

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Solution

The fourth proportional to 15,733.25, 23,599.88 and 6,499.49 is: 9,749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,733.25 : 23,599.88 = 6,499.49 : x
  2. Step 2: Convert to fraction form
    15,733.25/23,599.88 = 6,499.49/x
  3. Step 3: Cross multiply
    15,733.25x = 23,599.88 × 6,499.49
  4. Step 4: Simplify right side
    15,733.25x = 153,387,184.06
  5. Step 5: Solve for x
    x = 153,387,184.06/15,733.25
  6. Step 6: Final answer
    x = 9,749.24

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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.