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Finding the Fourth Proportional to 16,072.78, 22,182.64 and 9,699.70

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Solution

The fourth proportional to 16,072.78, 22,182.64 and 9,699.70 is: 13,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,072.78 : 22,182.64 = 9,699.70 : x
  2. Step 2: Convert to fraction form
    16,072.78/22,182.64 = 9,699.70/x
  3. Step 3: Cross multiply
    16,072.78x = 22,182.64 × 9,699.70
  4. Step 4: Simplify right side
    16,072.78x = 215,164,953.21
  5. Step 5: Solve for x
    x = 215,164,953.21/16,072.78
  6. Step 6: Final answer
    x = 13,386.92

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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.