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Finding the Fourth Proportional to 13,159.42, 18,159.86 and 7,416.34

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Solution

The fourth proportional to 13,159.42, 18,159.86 and 7,416.34 is: 10,234.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,159.42 : 18,159.86 = 7,416.34 : x
  2. Step 2: Convert to fraction form
    13,159.42/18,159.86 = 7,416.34/x
  3. Step 3: Cross multiply
    13,159.42x = 18,159.86 × 7,416.34
  4. Step 4: Simplify right side
    13,159.42x = 134,679,696.11
  5. Step 5: Solve for x
    x = 134,679,696.11/13,159.42
  6. Step 6: Final answer
    x = 10,234.47

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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.