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Finding the Fourth Proportional to 21,875.87, 32,820.59 and 9,232.17

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Solution

The fourth proportional to 21,875.87, 32,820.59 and 9,232.17 is: 13,851.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,875.87 : 32,820.59 = 9,232.17 : x
  2. Step 2: Convert to fraction form
    21,875.87/32,820.59 = 9,232.17/x
  3. Step 3: Cross multiply
    21,875.87x = 32,820.59 × 9,232.17
  4. Step 4: Simplify right side
    21,875.87x = 303,005,266.38
  5. Step 5: Solve for x
    x = 303,005,266.38/21,875.87
  6. Step 6: Final answer
    x = 13,851.12

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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.