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Finding the Fourth Proportional to 13,206.66, 19,887.77 and 9,534.66

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Solution

The fourth proportional to 13,206.66, 19,887.77 and 9,534.66 is: 14,358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.66 : 19,887.77 = 9,534.66 : x
  2. Step 2: Convert to fraction form
    13,206.66/19,887.77 = 9,534.66/x
  3. Step 3: Cross multiply
    13,206.66x = 19,887.77 × 9,534.66
  4. Step 4: Simplify right side
    13,206.66x = 189,623,077.43
  5. Step 5: Solve for x
    x = 189,623,077.43/13,206.66
  6. Step 6: Final answer
    x = 14,358.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.