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Finding the Fourth Proportional to 13,303.50, 18,356.78 and 7,924.30

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Solution

The fourth proportional to 13,303.50, 18,356.78 and 7,924.30 is: 10,934.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,303.50 : 18,356.78 = 7,924.30 : x
  2. Step 2: Convert to fraction form
    13,303.50/18,356.78 = 7,924.30/x
  3. Step 3: Cross multiply
    13,303.50x = 18,356.78 × 7,924.30
  4. Step 4: Simplify right side
    13,303.50x = 145,464,631.75
  5. Step 5: Solve for x
    x = 145,464,631.75/13,303.50
  6. Step 6: Final answer
    x = 10,934.31

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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.