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Finding the Fourth Proportional to 22,947.65, 34,417.50 and 6,303.72

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Solution

The fourth proportional to 22,947.65, 34,417.50 and 6,303.72 is: 9,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,947.65 : 34,417.50 = 6,303.72 : x
  2. Step 2: Convert to fraction form
    22,947.65/34,417.50 = 6,303.72/x
  3. Step 3: Cross multiply
    22,947.65x = 34,417.50 × 6,303.72
  4. Step 4: Simplify right side
    22,947.65x = 216,958,283.10
  5. Step 5: Solve for x
    x = 216,958,283.10/22,947.65
  6. Step 6: Final answer
    x = 9,454.49

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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.