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Finding the Fourth Proportional to 15,310.50, 21,130.11 and 9,721.50

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Solution

The fourth proportional to 15,310.50, 21,130.11 and 9,721.50 is: 13,416.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,310.50 : 21,130.11 = 9,721.50 : x
  2. Step 2: Convert to fraction form
    15,310.50/21,130.11 = 9,721.50/x
  3. Step 3: Cross multiply
    15,310.50x = 21,130.11 × 9,721.50
  4. Step 4: Simplify right side
    15,310.50x = 205,416,364.37
  5. Step 5: Solve for x
    x = 205,416,364.37/15,310.50
  6. Step 6: Final answer
    x = 13,416.70

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Why These Related Problems?

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