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Finding the Fourth Proportional to 26,329.60, 39,510 and 9,701.30

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Solution

The fourth proportional to 26,329.60, 39,510 and 9,701.30 is: 14,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,329.60 : 39,510 = 9,701.30 : x
  2. Step 2: Convert to fraction form
    26,329.60/39,510 = 9,701.30/x
  3. Step 3: Cross multiply
    26,329.60x = 39,510 × 9,701.30
  4. Step 4: Simplify right side
    26,329.60x = 383,298,165.45
  5. Step 5: Solve for x
    x = 383,298,165.45/26,329.60
  6. Step 6: Final answer
    x = 14,557.69

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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.