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Finding the Fourth Proportional to 16,488.48, 24,677.64 and 9,803.28

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Solution

The fourth proportional to 16,488.48, 24,677.64 and 9,803.28 is: 14,672.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,488.48 : 24,677.64 = 9,803.28 : x
  2. Step 2: Convert to fraction form
    16,488.48/24,677.64 = 9,803.28/x
  3. Step 3: Cross multiply
    16,488.48x = 24,677.64 × 9,803.28
  4. Step 4: Simplify right side
    16,488.48x = 241,921,814.66
  5. Step 5: Solve for x
    x = 241,921,814.66/16,488.48
  6. Step 6: Final answer
    x = 14,672.17

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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.