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Finding the Fourth Proportional to 16,417.82, 22,656.56 and 9,705.86

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Solution

The fourth proportional to 16,417.82, 22,656.56 and 9,705.86 is: 13,394.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.82 : 22,656.56 = 9,705.86 : x
  2. Step 2: Convert to fraction form
    16,417.82/22,656.56 = 9,705.86/x
  3. Step 3: Cross multiply
    16,417.82x = 22,656.56 × 9,705.86
  4. Step 4: Simplify right side
    16,417.82x = 219,901,237.63
  5. Step 5: Solve for x
    x = 219,901,237.63/16,417.82
  6. Step 6: Final answer
    x = 13,394.06

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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.