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Finding the Fourth Proportional to 16,580.64, 22,881.09 and 9,866.16

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Solution

The fourth proportional to 16,580.64, 22,881.09 and 9,866.16 is: 13,615.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,580.64 : 22,881.09 = 9,866.16 : x
  2. Step 2: Convert to fraction form
    16,580.64/22,881.09 = 9,866.16/x
  3. Step 3: Cross multiply
    16,580.64x = 22,881.09 × 9,866.16
  4. Step 4: Simplify right side
    16,580.64x = 225,748,494.91
  5. Step 5: Solve for x
    x = 225,748,494.91/16,580.64
  6. Step 6: Final answer
    x = 13,615.19

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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.