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Finding the Fourth Proportional to 19,808.40, 27,342.72 and 13,516.32

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Solution

The fourth proportional to 19,808.40, 27,342.72 and 13,516.32 is: 18,657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,808.40 : 27,342.72 = 13,516.32 : x
  2. Step 2: Convert to fraction form
    19,808.40/27,342.72 = 13,516.32/x
  3. Step 3: Cross multiply
    19,808.40x = 27,342.72 × 13,516.32
  4. Step 4: Simplify right side
    19,808.40x = 369,572,953.19
  5. Step 5: Solve for x
    x = 369,572,953.19/19,808.40
  6. Step 6: Final answer
    x = 18,657.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.