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Finding the Fourth Proportional to 21,283.68, 31,922.88 and 5,702.40

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Solution

The fourth proportional to 21,283.68, 31,922.88 and 5,702.40 is: 8,552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,283.68 : 31,922.88 = 5,702.40 : x
  2. Step 2: Convert to fraction form
    21,283.68/31,922.88 = 5,702.40/x
  3. Step 3: Cross multiply
    21,283.68x = 31,922.88 × 5,702.40
  4. Step 4: Simplify right side
    21,283.68x = 182,037,030.91
  5. Step 5: Solve for x
    x = 182,037,030.91/21,283.68
  6. Step 6: Final answer
    x = 8,552.89

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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.