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Finding the Fourth Proportional to 21,712.46, 32,567.67 and 9,056.99

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Solution

The fourth proportional to 21,712.46, 32,567.67 and 9,056.99 is: 13,585.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,712.46 : 32,567.67 = 9,056.99 : x
  2. Step 2: Convert to fraction form
    21,712.46/32,567.67 = 9,056.99/x
  3. Step 3: Cross multiply
    21,712.46x = 32,567.67 × 9,056.99
  4. Step 4: Simplify right side
    21,712.46x = 294,965,061.51
  5. Step 5: Solve for x
    x = 294,965,061.51/21,712.46
  6. Step 6: Final answer
    x = 13,585.06

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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.