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Finding the Fourth Proportional to 21,032.65, 31,548.29 and 8,549.32

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Solution

The fourth proportional to 21,032.65, 31,548.29 and 8,549.32 is: 12,823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,032.65 : 31,548.29 = 8,549.32 : x
  2. Step 2: Convert to fraction form
    21,032.65/31,548.29 = 8,549.32/x
  3. Step 3: Cross multiply
    21,032.65x = 31,548.29 × 8,549.32
  4. Step 4: Simplify right side
    21,032.65x = 269,716,426.66
  5. Step 5: Solve for x
    x = 269,716,426.66/21,032.65
  6. Step 6: Final answer
    x = 12,823.70

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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.