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Finding the Fourth Proportional to 18,657.14, 25,746.26 and 10,159.02

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Solution

The fourth proportional to 18,657.14, 25,746.26 and 10,159.02 is: 14,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657.14 : 25,746.26 = 10,159.02 : x
  2. Step 2: Convert to fraction form
    18,657.14/25,746.26 = 10,159.02/x
  3. Step 3: Cross multiply
    18,657.14x = 25,746.26 × 10,159.02
  4. Step 4: Simplify right side
    18,657.14x = 261,556,719.47
  5. Step 5: Solve for x
    x = 261,556,719.47/18,657.14
  6. Step 6: Final answer
    x = 14,019.13

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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.