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Finding the Fourth Proportional to 21,657.15, 32,486.87 and 6,864.93

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Solution

The fourth proportional to 21,657.15, 32,486.87 and 6,864.93 is: 10,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,657.15 : 32,486.87 = 6,864.93 : x
  2. Step 2: Convert to fraction form
    21,657.15/32,486.87 = 6,864.93/x
  3. Step 3: Cross multiply
    21,657.15x = 32,486.87 × 6,864.93
  4. Step 4: Simplify right side
    21,657.15x = 223,020,088.47
  5. Step 5: Solve for x
    x = 223,020,088.47/21,657.15
  6. Step 6: Final answer
    x = 10,297.76

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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.