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Finding the Fourth Proportional to 15,409.32, 21,264.77 and 8,335.80

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Solution

The fourth proportional to 15,409.32, 21,264.77 and 8,335.80 is: 11,503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,409.32 : 21,264.77 = 8,335.80 : x
  2. Step 2: Convert to fraction form
    15,409.32/21,264.77 = 8,335.80/x
  3. Step 3: Cross multiply
    15,409.32x = 21,264.77 × 8,335.80
  4. Step 4: Simplify right side
    15,409.32x = 177,258,828.09
  5. Step 5: Solve for x
    x = 177,258,828.09/15,409.32
  6. Step 6: Final answer
    x = 11,503.35

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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.