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Finding the Fourth Proportional to 23,838.12, 35,751.19 and 9,802.07

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Solution

The fourth proportional to 23,838.12, 35,751.19 and 9,802.07 is: 14,700.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,838.12 : 35,751.19 = 9,802.07 : x
  2. Step 2: Convert to fraction form
    23,838.12/35,751.19 = 9,802.07/x
  3. Step 3: Cross multiply
    23,838.12x = 35,751.19 × 9,802.07
  4. Step 4: Simplify right side
    23,838.12x = 350,435,666.96
  5. Step 5: Solve for x
    x = 350,435,666.96/23,838.12
  6. Step 6: Final answer
    x = 14,700.64

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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.