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Finding the Fourth Proportional to 24,807.78, 34,234.78 and 13,477.32

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Solution

The fourth proportional to 24,807.78, 34,234.78 and 13,477.32 is: 18,598.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,807.78 : 34,234.78 = 13,477.32 : x
  2. Step 2: Convert to fraction form
    24,807.78/34,234.78 = 13,477.32/x
  3. Step 3: Cross multiply
    24,807.78x = 34,234.78 × 13,477.32
  4. Step 4: Simplify right side
    24,807.78x = 461,393,085.19
  5. Step 5: Solve for x
    x = 461,393,085.19/24,807.78
  6. Step 6: Final answer
    x = 18,598.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.