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Finding the Fourth Proportional to 16,298.28, 24,430.32 and 7,538.94

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Solution

The fourth proportional to 16,298.28, 24,430.32 and 7,538.94 is: 11,300.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.28 : 24,430.32 = 7,538.94 : x
  2. Step 2: Convert to fraction form
    16,298.28/24,430.32 = 7,538.94/x
  3. Step 3: Cross multiply
    16,298.28x = 24,430.32 × 7,538.94
  4. Step 4: Simplify right side
    16,298.28x = 184,178,716.66
  5. Step 5: Solve for x
    x = 184,178,716.66/16,298.28
  6. Step 6: Final answer
    x = 11,300.50

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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.