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Finding the Fourth Proportional to 16,364.13, 22,583.66 and 9,291.00

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Solution

The fourth proportional to 16,364.13, 22,583.66 and 9,291.00 is: 12,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,364.13 : 22,583.66 = 9,291.00 : x
  2. Step 2: Convert to fraction form
    16,364.13/22,583.66 = 9,291.00/x
  3. Step 3: Cross multiply
    16,364.13x = 22,583.66 × 9,291.00
  4. Step 4: Simplify right side
    16,364.13x = 209,824,875.56
  5. Step 5: Solve for x
    x = 209,824,875.56/16,364.13
  6. Step 6: Final answer
    x = 12,822.25

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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.