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Finding the Fourth Proportional to 21,689.60, 32,533.79 and 6,899.40

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Solution

The fourth proportional to 21,689.60, 32,533.79 and 6,899.40 is: 10,348.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,689.60 : 32,533.79 = 6,899.40 : x
  2. Step 2: Convert to fraction form
    21,689.60/32,533.79 = 6,899.40/x
  3. Step 3: Cross multiply
    21,689.60x = 32,533.79 × 6,899.40
  4. Step 4: Simplify right side
    21,689.60x = 224,463,596.23
  5. Step 5: Solve for x
    x = 224,463,596.23/21,689.60
  6. Step 6: Final answer
    x = 10,348.91

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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.