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Finding the Fourth Proportional to 16,547.88, 22,832.04 and 9,833.28

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Solution

The fourth proportional to 16,547.88, 22,832.04 and 9,833.28 is: 13,567.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.88 : 22,832.04 = 9,833.28 : x
  2. Step 2: Convert to fraction form
    16,547.88/22,832.04 = 9,833.28/x
  3. Step 3: Cross multiply
    16,547.88x = 22,832.04 × 9,833.28
  4. Step 4: Simplify right side
    16,547.88x = 224,513,842.29
  5. Step 5: Solve for x
    x = 224,513,842.29/16,547.88
  6. Step 6: Final answer
    x = 13,567.53

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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.