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Finding the Fourth Proportional to 13,159.98, 18,152.37 and 7,851.78

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Solution

The fourth proportional to 13,159.98, 18,152.37 and 7,851.78 is: 10,830.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.98 : 18,152.37 = 7,851.78 : x
  2. Step 2: Convert to fraction form
    13,159.98/18,152.37 = 7,851.78/x
  3. Step 3: Cross multiply
    13,159.98x = 18,152.37 × 7,851.78
  4. Step 4: Simplify right side
    13,159.98x = 142,528,415.72
  5. Step 5: Solve for x
    x = 142,528,415.72/13,159.98
  6. Step 6: Final answer
    x = 10,830.44

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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.