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Finding the Fourth Proportional to 16,301.66, 22,495.73 and 9,585.74

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Solution

The fourth proportional to 16,301.66, 22,495.73 and 9,585.74 is: 13,228.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.66 : 22,495.73 = 9,585.74 : x
  2. Step 2: Convert to fraction form
    16,301.66/22,495.73 = 9,585.74/x
  3. Step 3: Cross multiply
    16,301.66x = 22,495.73 × 9,585.74
  4. Step 4: Simplify right side
    16,301.66x = 215,638,227.20
  5. Step 5: Solve for x
    x = 215,638,227.20/16,301.66
  6. Step 6: Final answer
    x = 13,228.00

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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.