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Finding the Fourth Proportional to 16,417.64, 22,658.01 and 9,705.44

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Solution

The fourth proportional to 16,417.64, 22,658.01 and 9,705.44 is: 13,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,417.64 : 22,658.01 = 9,705.44 : x
  2. Step 2: Convert to fraction form
    16,417.64/22,658.01 = 9,705.44/x
  3. Step 3: Cross multiply
    16,417.64x = 22,658.01 × 9,705.44
  4. Step 4: Simplify right side
    16,417.64x = 219,905,956.57
  5. Step 5: Solve for x
    x = 219,905,956.57/16,417.64
  6. Step 6: Final answer
    x = 13,394.49

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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.