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Finding the Fourth Proportional to 21,389.15, 32,061.04 and 8,235.83

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Solution

The fourth proportional to 21,389.15, 32,061.04 and 8,235.83 is: 12,345.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,389.15 : 32,061.04 = 8,235.83 : x
  2. Step 2: Convert to fraction form
    21,389.15/32,061.04 = 8,235.83/x
  3. Step 3: Cross multiply
    21,389.15x = 32,061.04 × 8,235.83
  4. Step 4: Simplify right side
    21,389.15x = 264,049,275.06
  5. Step 5: Solve for x
    x = 264,049,275.06/21,389.15
  6. Step 6: Final answer
    x = 12,345.01

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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.