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Finding the Fourth Proportional to 23,838.75, 35,752.13 and 9,802.70

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Solution

The fourth proportional to 23,838.75, 35,752.13 and 9,802.70 is: 14,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.75 : 35,752.13 = 9,802.70 : x
  2. Step 2: Convert to fraction form
    23,838.75/35,752.13 = 9,802.70/x
  3. Step 3: Cross multiply
    23,838.75x = 35,752.13 × 9,802.70
  4. Step 4: Simplify right side
    23,838.75x = 350,467,176.98
  5. Step 5: Solve for x
    x = 350,467,176.98/23,838.75
  6. Step 6: Final answer
    x = 14,701.58

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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.