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Finding the Fourth Proportional to 16,342.16, 22,551 and 10,054.64

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Solution

The fourth proportional to 16,342.16, 22,551 and 10,054.64 is: 13,874.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.16 : 22,551 = 10,054.64 : x
  2. Step 2: Convert to fraction form
    16,342.16/22,551 = 10,054.64/x
  3. Step 3: Cross multiply
    16,342.16x = 22,551 × 10,054.64
  4. Step 4: Simplify right side
    16,342.16x = 226,742,186.64
  5. Step 5: Solve for x
    x = 226,742,186.64/16,342.16
  6. Step 6: Final answer
    x = 13,874.68

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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.