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Finding the Fourth Proportional to 10,300.88, 15,468.60 and 10,220.24

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Solution

The fourth proportional to 10,300.88, 15,468.60 and 10,220.24 is: 15,347.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.88 : 15,468.60 = 10,220.24 : x
  2. Step 2: Convert to fraction form
    10,300.88/15,468.60 = 10,220.24/x
  3. Step 3: Cross multiply
    10,300.88x = 15,468.60 × 10,220.24
  4. Step 4: Simplify right side
    10,300.88x = 158,092,804.46
  5. Step 5: Solve for x
    x = 158,092,804.46/10,300.88
  6. Step 6: Final answer
    x = 15,347.50

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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.