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Finding the Fourth Proportional to 22,303.36, 33,458.10 and 12,947.78

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Solution

The fourth proportional to 22,303.36, 33,458.10 and 12,947.78 is: 19,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,303.36 : 33,458.10 = 12,947.78 : x
  2. Step 2: Convert to fraction form
    22,303.36/33,458.10 = 12,947.78/x
  3. Step 3: Cross multiply
    22,303.36x = 33,458.10 × 12,947.78
  4. Step 4: Simplify right side
    22,303.36x = 433,208,118.02
  5. Step 5: Solve for x
    x = 433,208,118.02/22,303.36
  6. Step 6: Final answer
    x = 19,423.45

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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.