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Finding the Fourth Proportional to 11,557.80, 17,312.40 and 9,370.80

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Solution

The fourth proportional to 11,557.80, 17,312.40 and 9,370.80 is: 14,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,557.80 : 17,312.40 = 9,370.80 : x
  2. Step 2: Convert to fraction form
    11,557.80/17,312.40 = 9,370.80/x
  3. Step 3: Cross multiply
    11,557.80x = 17,312.40 × 9,370.80
  4. Step 4: Simplify right side
    11,557.80x = 162,231,037.92
  5. Step 5: Solve for x
    x = 162,231,037.92/11,557.80
  6. Step 6: Final answer
    x = 14,036.50

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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.