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Finding the Fourth Proportional to 15,593.76, 21,533.76 and 10,014.48

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Solution

The fourth proportional to 15,593.76, 21,533.76 and 10,014.48 is: 13,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,593.76 : 21,533.76 = 10,014.48 : x
  2. Step 2: Convert to fraction form
    15,593.76/21,533.76 = 10,014.48/x
  3. Step 3: Cross multiply
    15,593.76x = 21,533.76 × 10,014.48
  4. Step 4: Simplify right side
    15,593.76x = 215,649,408.84
  5. Step 5: Solve for x
    x = 215,649,408.84/15,593.76
  6. Step 6: Final answer
    x = 13,829.21

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1.5x scale

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.