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Finding the Fourth Proportional to 21,665.12, 32,498.85 and 6,875.19

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Solution

The fourth proportional to 21,665.12, 32,498.85 and 6,875.19 is: 10,313.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.12 : 32,498.85 = 6,875.19 : x
  2. Step 2: Convert to fraction form
    21,665.12/32,498.85 = 6,875.19/x
  3. Step 3: Cross multiply
    21,665.12x = 32,498.85 × 6,875.19
  4. Step 4: Simplify right side
    21,665.12x = 223,435,768.53
  5. Step 5: Solve for x
    x = 223,435,768.53/21,665.12
  6. Step 6: Final answer
    x = 10,313.16

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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.