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Finding the Fourth Proportional to 21,032.28, 31,529.88 and 7,875.42

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Solution

The fourth proportional to 21,032.28, 31,529.88 and 7,875.42 is: 11,806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,032.28 : 31,529.88 = 7,875.42 : x
  2. Step 2: Convert to fraction form
    21,032.28/31,529.88 = 7,875.42/x
  3. Step 3: Cross multiply
    21,032.28x = 31,529.88 × 7,875.42
  4. Step 4: Simplify right side
    21,032.28x = 248,311,047.55
  5. Step 5: Solve for x
    x = 248,311,047.55/21,032.28
  6. Step 6: Final answer
    x = 11,806.19

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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.