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Finding the Fourth Proportional to 14,081.10, 19,411.88 and 9,599.10

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Solution

The fourth proportional to 14,081.10, 19,411.88 and 9,599.10 is: 13,233.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,081.10 : 19,411.88 = 9,599.10 : x
  2. Step 2: Convert to fraction form
    14,081.10/19,411.88 = 9,599.10/x
  3. Step 3: Cross multiply
    14,081.10x = 19,411.88 × 9,599.10
  4. Step 4: Simplify right side
    14,081.10x = 186,336,480.25
  5. Step 5: Solve for x
    x = 186,336,480.25/14,081.10
  6. Step 6: Final answer
    x = 13,233.10

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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.