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Finding the Fourth Proportional to 16,547.04, 22,832.88 and 9,832.80

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Solution

The fourth proportional to 16,547.04, 22,832.88 and 9,832.80 is: 13,568.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.04 : 22,832.88 = 9,832.80 : x
  2. Step 2: Convert to fraction form
    16,547.04/22,832.88 = 9,832.80/x
  3. Step 3: Cross multiply
    16,547.04x = 22,832.88 × 9,832.80
  4. Step 4: Simplify right side
    16,547.04x = 224,511,142.46
  5. Step 5: Solve for x
    x = 224,511,142.46/16,547.04
  6. Step 6: Final answer
    x = 13,568.05

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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.