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Finding the Fourth Proportional to 23,397.66, 35,106.24 and 10,259.46

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Solution

The fourth proportional to 23,397.66, 35,106.24 and 10,259.46 is: 15,393.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,397.66 : 35,106.24 = 10,259.46 : x
  2. Step 2: Convert to fraction form
    23,397.66/35,106.24 = 10,259.46/x
  3. Step 3: Cross multiply
    23,397.66x = 35,106.24 × 10,259.46
  4. Step 4: Simplify right side
    23,397.66x = 360,171,065.03
  5. Step 5: Solve for x
    x = 360,171,065.03/23,397.66
  6. Step 6: Final answer
    x = 15,393.47

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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.