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Finding the Fourth Proportional to 17,808.40, 26,731.80 and 10,032.40

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Solution

The fourth proportional to 17,808.40, 26,731.80 and 10,032.40 is: 15,059.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,808.40 : 26,731.80 = 10,032.40 : x
  2. Step 2: Convert to fraction form
    17,808.40/26,731.80 = 10,032.40/x
  3. Step 3: Cross multiply
    17,808.40x = 26,731.80 × 10,032.40
  4. Step 4: Simplify right side
    17,808.40x = 268,184,110.32
  5. Step 5: Solve for x
    x = 268,184,110.32/17,808.40
  6. Step 6: Final answer
    x = 15,059.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.