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Finding the Fourth Proportional to 21,032.42, 31,539.39 and 7,875.56

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Solution

The fourth proportional to 21,032.42, 31,539.39 and 7,875.56 is: 11,809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,032.42 : 31,539.39 = 7,875.56 : x
  2. Step 2: Convert to fraction form
    21,032.42/31,539.39 = 7,875.56/x
  3. Step 3: Cross multiply
    21,032.42x = 31,539.39 × 7,875.56
  4. Step 4: Simplify right side
    21,032.42x = 248,390,200.61
  5. Step 5: Solve for x
    x = 248,390,200.61/21,032.42
  6. Step 6: Final answer
    x = 11,809.88

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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.