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Finding the Fourth Proportional to 16,547.52, 22,832.22 and 9,830.73

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Solution

The fourth proportional to 16,547.52, 22,832.22 and 9,830.73 is: 13,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.52 : 22,832.22 = 9,830.73 : x
  2. Step 2: Convert to fraction form
    16,547.52/22,832.22 = 9,830.73/x
  3. Step 3: Cross multiply
    16,547.52x = 22,832.22 × 9,830.73
  4. Step 4: Simplify right side
    16,547.52x = 224,457,390.12
  5. Step 5: Solve for x
    x = 224,457,390.12/16,547.52
  6. Step 6: Final answer
    x = 13,564.41

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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.