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Finding the Fourth Proportional to 21,574.94, 32,362.35 and 9,714.83

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Solution

The fourth proportional to 21,574.94, 32,362.35 and 9,714.83 is: 14,572.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.94 : 32,362.35 = 9,714.83 : x
  2. Step 2: Convert to fraction form
    21,574.94/32,362.35 = 9,714.83/x
  3. Step 3: Cross multiply
    21,574.94x = 32,362.35 × 9,714.83
  4. Step 4: Simplify right side
    21,574.94x = 314,394,728.65
  5. Step 5: Solve for x
    x = 314,394,728.65/21,574.94
  6. Step 6: Final answer
    x = 14,572.22

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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.