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Finding the Fourth Proportional to 16,857.02, 23,262 and 9,781.94

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Solution

The fourth proportional to 16,857.02, 23,262 and 9,781.94 is: 13,498.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,857.02 : 23,262 = 9,781.94 : x
  2. Step 2: Convert to fraction form
    16,857.02/23,262 = 9,781.94/x
  3. Step 3: Cross multiply
    16,857.02x = 23,262 × 9,781.94
  4. Step 4: Simplify right side
    16,857.02x = 227,547,488.28
  5. Step 5: Solve for x
    x = 227,547,488.28/16,857.02
  6. Step 6: Final answer
    x = 13,498.68

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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.