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Finding the Fourth Proportional to 16,356.11, 24,534.17 and 5,263.66

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Solution

The fourth proportional to 16,356.11, 24,534.17 and 5,263.66 is: 7,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356.11 : 24,534.17 = 5,263.66 : x
  2. Step 2: Convert to fraction form
    16,356.11/24,534.17 = 5,263.66/x
  3. Step 3: Cross multiply
    16,356.11x = 24,534.17 × 5,263.66
  4. Step 4: Simplify right side
    16,356.11x = 129,139,633.13
  5. Step 5: Solve for x
    x = 129,139,633.13/16,356.11
  6. Step 6: Final answer
    x = 7,895.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.