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Finding the Fourth Proportional to 21,688.40, 32,537.40 and 9,219.08

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Solution

The fourth proportional to 21,688.40, 32,537.40 and 9,219.08 is: 13,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,688.40 : 32,537.40 = 9,219.08 : x
  2. Step 2: Convert to fraction form
    21,688.40/32,537.40 = 9,219.08/x
  3. Step 3: Cross multiply
    21,688.40x = 32,537.40 × 9,219.08
  4. Step 4: Simplify right side
    21,688.40x = 299,964,940.36
  5. Step 5: Solve for x
    x = 299,964,940.36/21,688.40
  6. Step 6: Final answer
    x = 13,830.66

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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.