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Finding the Fourth Proportional to 13,005.20, 17,947.05 and 7,036.74

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Solution

The fourth proportional to 13,005.20, 17,947.05 and 7,036.74 is: 9,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.20 : 17,947.05 = 7,036.74 : x
  2. Step 2: Convert to fraction form
    13,005.20/17,947.05 = 7,036.74/x
  3. Step 3: Cross multiply
    13,005.20x = 17,947.05 × 7,036.74
  4. Step 4: Simplify right side
    13,005.20x = 126,288,737.81
  5. Step 5: Solve for x
    x = 126,288,737.81/13,005.20
  6. Step 6: Final answer
    x = 9,710.63

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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.