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Finding the Fourth Proportional to 23,602.90, 35,396.19 and 10,464.46

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Solution

The fourth proportional to 23,602.90, 35,396.19 and 10,464.46 is: 15,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,602.90 : 35,396.19 = 10,464.46 : x
  2. Step 2: Convert to fraction form
    23,602.90/35,396.19 = 10,464.46/x
  3. Step 3: Cross multiply
    23,602.90x = 35,396.19 × 10,464.46
  4. Step 4: Simplify right side
    23,602.90x = 370,402,014.41
  5. Step 5: Solve for x
    x = 370,402,014.41/23,602.90
  6. Step 6: Final answer
    x = 15,693.07

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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.