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Finding the Fourth Proportional to 39,476.16, 59,212.89 and 9,894.24

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Solution

The fourth proportional to 39,476.16, 59,212.89 and 9,894.24 is: 14,841.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,476.16 : 59,212.89 = 9,894.24 : x
  2. Step 2: Convert to fraction form
    39,476.16/59,212.89 = 9,894.24/x
  3. Step 3: Cross multiply
    39,476.16x = 59,212.89 × 9,894.24
  4. Step 4: Simplify right side
    39,476.16x = 585,866,544.75
  5. Step 5: Solve for x
    x = 585,866,544.75/39,476.16
  6. Step 6: Final answer
    x = 14,841.02

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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.