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Finding the Fourth Proportional to 23,830.46, 35,750.88 and 9,039.53

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Solution

The fourth proportional to 23,830.46, 35,750.88 and 9,039.53 is: 13,561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,830.46 : 35,750.88 = 9,039.53 : x
  2. Step 2: Convert to fraction form
    23,830.46/35,750.88 = 9,039.53/x
  3. Step 3: Cross multiply
    23,830.46x = 35,750.88 × 9,039.53
  4. Step 4: Simplify right side
    23,830.46x = 323,170,973.53
  5. Step 5: Solve for x
    x = 323,170,973.53/23,830.46
  6. Step 6: Final answer
    x = 13,561.26

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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.