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Finding the Fourth Proportional to 16,071.78, 24,107.64 and 4,384.98

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Solution

The fourth proportional to 16,071.78, 24,107.64 and 4,384.98 is: 6,577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.78 : 24,107.64 = 4,384.98 : x
  2. Step 2: Convert to fraction form
    16,071.78/24,107.64 = 4,384.98/x
  3. Step 3: Cross multiply
    16,071.78x = 24,107.64 × 4,384.98
  4. Step 4: Simplify right side
    16,071.78x = 105,711,519.25
  5. Step 5: Solve for x
    x = 105,711,519.25/16,071.78
  6. Step 6: Final answer
    x = 6,577.46

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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.