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Finding the Fourth Proportional to 21,623.74, 32,437.14 and 7,582.12

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Solution

The fourth proportional to 21,623.74, 32,437.14 and 7,582.12 is: 11,373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,623.74 : 32,437.14 = 7,582.12 : x
  2. Step 2: Convert to fraction form
    21,623.74/32,437.14 = 7,582.12/x
  3. Step 3: Cross multiply
    21,623.74x = 32,437.14 × 7,582.12
  4. Step 4: Simplify right side
    21,623.74x = 245,942,287.94
  5. Step 5: Solve for x
    x = 245,942,287.94/21,623.74
  6. Step 6: Final answer
    x = 11,373.72

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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.