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Finding the Fourth Proportional to 17,088.42, 23,584.15 and 9,916.80

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Solution

The fourth proportional to 17,088.42, 23,584.15 and 9,916.80 is: 13,686.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,088.42 : 23,584.15 = 9,916.80 : x
  2. Step 2: Convert to fraction form
    17,088.42/23,584.15 = 9,916.80/x
  3. Step 3: Cross multiply
    17,088.42x = 23,584.15 × 9,916.80
  4. Step 4: Simplify right side
    17,088.42x = 233,879,264.55
  5. Step 5: Solve for x
    x = 233,879,264.55/17,088.42
  6. Step 6: Final answer
    x = 13,686.42

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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.