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Finding the Fourth Proportional to 26,358.51, 39,531.54 and 9,709.50

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Solution

The fourth proportional to 26,358.51, 39,531.54 and 9,709.50 is: 14,561.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,358.51 : 39,531.54 = 9,709.50 : x
  2. Step 2: Convert to fraction form
    26,358.51/39,531.54 = 9,709.50/x
  3. Step 3: Cross multiply
    26,358.51x = 39,531.54 × 9,709.50
  4. Step 4: Simplify right side
    26,358.51x = 383,831,487.63
  5. Step 5: Solve for x
    x = 383,831,487.63/26,358.51
  6. Step 6: Final answer
    x = 14,561.96

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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.