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Finding the Fourth Proportional to 21,688.52, 32,537.70 and 6,898.32

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Solution

The fourth proportional to 21,688.52, 32,537.70 and 6,898.32 is: 10,349.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,688.52 : 32,537.70 = 6,898.32 : x
  2. Step 2: Convert to fraction form
    21,688.52/32,537.70 = 6,898.32/x
  3. Step 3: Cross multiply
    21,688.52x = 32,537.70 × 6,898.32
  4. Step 4: Simplify right side
    21,688.52x = 224,455,466.66
  5. Step 5: Solve for x
    x = 224,455,466.66/21,688.52
  6. Step 6: Final answer
    x = 10,349.05

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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.