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Finding the Fourth Proportional to 21,907.35, 32,864.13 and 7,111.53

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Solution

The fourth proportional to 21,907.35, 32,864.13 and 7,111.53 is: 10,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907.35 : 32,864.13 = 7,111.53 : x
  2. Step 2: Convert to fraction form
    21,907.35/32,864.13 = 7,111.53/x
  3. Step 3: Cross multiply
    21,907.35x = 32,864.13 × 7,111.53
  4. Step 4: Simplify right side
    21,907.35x = 233,714,246.42
  5. Step 5: Solve for x
    x = 233,714,246.42/21,907.35
  6. Step 6: Final answer
    x = 10,668.30

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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.