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Finding the Fourth Proportional to 13,307.42, 18,365.52 and 8,002.12

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Solution

The fourth proportional to 13,307.42, 18,365.52 and 8,002.12 is: 11,043.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,307.42 : 18,365.52 = 8,002.12 : x
  2. Step 2: Convert to fraction form
    13,307.42/18,365.52 = 8,002.12/x
  3. Step 3: Cross multiply
    13,307.42x = 18,365.52 × 8,002.12
  4. Step 4: Simplify right side
    13,307.42x = 146,963,094.90
  5. Step 5: Solve for x
    x = 146,963,094.90/13,307.42
  6. Step 6: Final answer
    x = 11,043.70

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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.