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Finding the Fourth Proportional to 26,587.40, 39,868.91 and 9,050.09

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Solution

The fourth proportional to 26,587.40, 39,868.91 and 9,050.09 is: 13,570.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,587.40 : 39,868.91 = 9,050.09 : x
  2. Step 2: Convert to fraction form
    26,587.40/39,868.91 = 9,050.09/x
  3. Step 3: Cross multiply
    26,587.40x = 39,868.91 × 9,050.09
  4. Step 4: Simplify right side
    26,587.40x = 360,817,178.45
  5. Step 5: Solve for x
    x = 360,817,178.45/26,587.40
  6. Step 6: Final answer
    x = 13,570.98

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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.