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Finding the Fourth Proportional to 15,407.84, 21,262.77 and 8,334.24

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Solution

The fourth proportional to 15,407.84, 21,262.77 and 8,334.24 is: 11,501.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,407.84 : 21,262.77 = 8,334.24 : x
  2. Step 2: Convert to fraction form
    15,407.84/21,262.77 = 8,334.24/x
  3. Step 3: Cross multiply
    15,407.84x = 21,262.77 × 8,334.24
  4. Step 4: Simplify right side
    15,407.84x = 177,209,028.24
  5. Step 5: Solve for x
    x = 177,209,028.24/15,407.84
  6. Step 6: Final answer
    x = 11,501.23

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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.