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Finding the Fourth Proportional to 39,223.70, 58,835 and 9,641.26

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Solution

The fourth proportional to 39,223.70, 58,835 and 9,641.26 is: 14,461.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,223.70 : 58,835 = 9,641.26 : x
  2. Step 2: Convert to fraction form
    39,223.70/58,835 = 9,641.26/x
  3. Step 3: Cross multiply
    39,223.70x = 58,835 × 9,641.26
  4. Step 4: Simplify right side
    39,223.70x = 567,243,532.10
  5. Step 5: Solve for x
    x = 567,243,532.10/39,223.70
  6. Step 6: Final answer
    x = 14,461.75

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