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Finding the Fourth Proportional to 24,203.36, 36,303.72 and 7,561.47

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Solution

The fourth proportional to 24,203.36, 36,303.72 and 7,561.47 is: 11,341.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,203.36 : 36,303.72 = 7,561.47 : x
  2. Step 2: Convert to fraction form
    24,203.36/36,303.72 = 7,561.47/x
  3. Step 3: Cross multiply
    24,203.36x = 36,303.72 × 7,561.47
  4. Step 4: Simplify right side
    24,203.36x = 274,509,489.67
  5. Step 5: Solve for x
    x = 274,509,489.67/24,203.36
  6. Step 6: Final answer
    x = 11,341.79

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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.