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Finding the Fourth Proportional to 21,852.61, 32,774.58 and 10,003.18

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Solution

The fourth proportional to 21,852.61, 32,774.58 and 10,003.18 is: 15,002.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,852.61 : 32,774.58 = 10,003.18 : x
  2. Step 2: Convert to fraction form
    21,852.61/32,774.58 = 10,003.18/x
  3. Step 3: Cross multiply
    21,852.61x = 32,774.58 × 10,003.18
  4. Step 4: Simplify right side
    21,852.61x = 327,849,859.29
  5. Step 5: Solve for x
    x = 327,849,859.29/21,852.61
  6. Step 6: Final answer
    x = 15,002.78

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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.