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Finding the Fourth Proportional to 24,447.33, 36,670.70 and 7,807.16

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Solution

The fourth proportional to 24,447.33, 36,670.70 and 7,807.16 is: 11,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,447.33 : 36,670.70 = 7,807.16 : x
  2. Step 2: Convert to fraction form
    24,447.33/36,670.70 = 7,807.16/x
  3. Step 3: Cross multiply
    24,447.33x = 36,670.70 × 7,807.16
  4. Step 4: Simplify right side
    24,447.33x = 286,293,799.82
  5. Step 5: Solve for x
    x = 286,293,799.82/24,447.33
  6. Step 6: Final answer
    x = 11,710.64

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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.