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Finding the Fourth Proportional to 21,533, 32,298.30 and 6,740.18

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Solution

The fourth proportional to 21,533, 32,298.30 and 6,740.18 is: 10,109.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533 : 32,298.30 = 6,740.18 : x
  2. Step 2: Convert to fraction form
    21,533/32,298.30 = 6,740.18/x
  3. Step 3: Cross multiply
    21,533x = 32,298.30 × 6,740.18
  4. Step 4: Simplify right side
    21,533x = 217,696,355.69
  5. Step 5: Solve for x
    x = 217,696,355.69/21,533
  6. Step 6: Final answer
    x = 10,109.89

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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.