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Finding the Fourth Proportional to 16,415.16, 24,627.12 and 5,886.24

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Solution

The fourth proportional to 16,415.16, 24,627.12 and 5,886.24 is: 8,830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,415.16 : 24,627.12 = 5,886.24 : x
  2. Step 2: Convert to fraction form
    16,415.16/24,627.12 = 5,886.24/x
  3. Step 3: Cross multiply
    16,415.16x = 24,627.12 × 5,886.24
  4. Step 4: Simplify right side
    16,415.16x = 144,961,138.83
  5. Step 5: Solve for x
    x = 144,961,138.83/16,415.16
  6. Step 6: Final answer
    x = 8,830.93

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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.