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Finding the Fourth Proportional to 13,544.71, 18,691.70 and 8,829.00

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Solution

The fourth proportional to 13,544.71, 18,691.70 and 8,829.00 is: 12,184.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,544.71 : 18,691.70 = 8,829.00 : x
  2. Step 2: Convert to fraction form
    13,544.71/18,691.70 = 8,829.00/x
  3. Step 3: Cross multiply
    13,544.71x = 18,691.70 × 8,829.00
  4. Step 4: Simplify right side
    13,544.71x = 165,028,925.84
  5. Step 5: Solve for x
    x = 165,028,925.84/13,544.71
  6. Step 6: Final answer
    x = 12,184.01

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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.