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Finding the Fourth Proportional to 23,706.48, 35,531.37 and 10,543.98

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Solution

The fourth proportional to 23,706.48, 35,531.37 and 10,543.98 is: 15,803.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,706.48 : 35,531.37 = 10,543.98 : x
  2. Step 2: Convert to fraction form
    23,706.48/35,531.37 = 10,543.98/x
  3. Step 3: Cross multiply
    23,706.48x = 35,531.37 × 10,543.98
  4. Step 4: Simplify right side
    23,706.48x = 374,642,054.65
  5. Step 5: Solve for x
    x = 374,642,054.65/23,706.48
  6. Step 6: Final answer
    x = 15,803.36

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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.