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Finding the Fourth Proportional to 21,209.48, 29,255.63 and 13,029.50

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Solution

The fourth proportional to 21,209.48, 29,255.63 and 13,029.50 is: 17,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,209.48 : 29,255.63 = 13,029.50 : x
  2. Step 2: Convert to fraction form
    21,209.48/29,255.63 = 13,029.50/x
  3. Step 3: Cross multiply
    21,209.48x = 29,255.63 × 13,029.50
  4. Step 4: Simplify right side
    21,209.48x = 381,186,165.94
  5. Step 5: Solve for x
    x = 381,186,165.94/21,209.48
  6. Step 6: Final answer
    x = 17,972.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.