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Finding the Fourth Proportional to 13,853.60, 19,117.71 and 7,803.86

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Solution

The fourth proportional to 13,853.60, 19,117.71 and 7,803.86 is: 10,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,853.60 : 19,117.71 = 7,803.86 : x
  2. Step 2: Convert to fraction form
    13,853.60/19,117.71 = 7,803.86/x
  3. Step 3: Cross multiply
    13,853.60x = 19,117.71 × 7,803.86
  4. Step 4: Simplify right side
    13,853.60x = 149,191,932.36
  5. Step 5: Solve for x
    x = 149,191,932.36/13,853.60
  6. Step 6: Final answer
    x = 10,769.18

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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.