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Finding the Fourth Proportional to 19,609.78, 27,061.90 and 10,657.86

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Solution

The fourth proportional to 19,609.78, 27,061.90 and 10,657.86 is: 14,708.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,609.78 : 27,061.90 = 10,657.86 : x
  2. Step 2: Convert to fraction form
    19,609.78/27,061.90 = 10,657.86/x
  3. Step 3: Cross multiply
    19,609.78x = 27,061.90 × 10,657.86
  4. Step 4: Simplify right side
    19,609.78x = 288,421,941.53
  5. Step 5: Solve for x
    x = 288,421,941.53/19,609.78
  6. Step 6: Final answer
    x = 14,708.07

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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.