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Finding the Fourth Proportional to 16,300.32, 22,493.84 and 8,848.16

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Solution

The fourth proportional to 16,300.32, 22,493.84 and 8,848.16 is: 12,210.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,300.32 : 22,493.84 = 8,848.16 : x
  2. Step 2: Convert to fraction form
    16,300.32/22,493.84 = 8,848.16/x
  3. Step 3: Cross multiply
    16,300.32x = 22,493.84 × 8,848.16
  4. Step 4: Simplify right side
    16,300.32x = 199,029,095.33
  5. Step 5: Solve for x
    x = 199,029,095.33/16,300.32
  6. Step 6: Final answer
    x = 12,210.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.