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Finding the Fourth Proportional to 15,641.64, 21,571.38 and 10,341.90

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Solution

The fourth proportional to 15,641.64, 21,571.38 and 10,341.90 is: 14,262.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,641.64 : 21,571.38 = 10,341.90 : x
  2. Step 2: Convert to fraction form
    15,641.64/21,571.38 = 10,341.90/x
  3. Step 3: Cross multiply
    15,641.64x = 21,571.38 × 10,341.90
  4. Step 4: Simplify right side
    15,641.64x = 223,089,054.82
  5. Step 5: Solve for x
    x = 223,089,054.82/15,641.64
  6. Step 6: Final answer
    x = 14,262.51

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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.