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Finding the Fourth Proportional to 21,249.30, 31,875.09 and 6,458.70

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Solution

The fourth proportional to 21,249.30, 31,875.09 and 6,458.70 is: 9,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,249.30 : 31,875.09 = 6,458.70 : x
  2. Step 2: Convert to fraction form
    21,249.30/31,875.09 = 6,458.70/x
  3. Step 3: Cross multiply
    21,249.30x = 31,875.09 × 6,458.70
  4. Step 4: Simplify right side
    21,249.30x = 205,871,643.78
  5. Step 5: Solve for x
    x = 205,871,643.78/21,249.30
  6. Step 6: Final answer
    x = 9,688.40

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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.