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Finding the Fourth Proportional to 15,415.68, 23,130.72 and 8,016.24

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Solution

The fourth proportional to 15,415.68, 23,130.72 and 8,016.24 is: 12,028.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,415.68 : 23,130.72 = 8,016.24 : x
  2. Step 2: Convert to fraction form
    15,415.68/23,130.72 = 8,016.24/x
  3. Step 3: Cross multiply
    15,415.68x = 23,130.72 × 8,016.24
  4. Step 4: Simplify right side
    15,415.68x = 185,421,402.89
  5. Step 5: Solve for x
    x = 185,421,402.89/15,415.68
  6. Step 6: Final answer
    x = 12,028.10

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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.