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Finding the Fourth Proportional to 17,784.66, 24,531.98 and 11,409.11

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Solution

The fourth proportional to 17,784.66, 24,531.98 and 11,409.11 is: 15,737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,784.66 : 24,531.98 = 11,409.11 : x
  2. Step 2: Convert to fraction form
    17,784.66/24,531.98 = 11,409.11/x
  3. Step 3: Cross multiply
    17,784.66x = 24,531.98 × 11,409.11
  4. Step 4: Simplify right side
    17,784.66x = 279,887,878.63
  5. Step 5: Solve for x
    x = 279,887,878.63/17,784.66
  6. Step 6: Final answer
    x = 15,737.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.