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Finding the Fourth Proportional to 15,409.34, 21,264.84 and 8,335.74

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Solution

The fourth proportional to 15,409.34, 21,264.84 and 8,335.74 is: 11,503.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,409.34 : 21,264.84 = 8,335.74 : x
  2. Step 2: Convert to fraction form
    15,409.34/21,264.84 = 8,335.74/x
  3. Step 3: Cross multiply
    15,409.34x = 21,264.84 × 8,335.74
  4. Step 4: Simplify right side
    15,409.34x = 177,258,177.38
  5. Step 5: Solve for x
    x = 177,258,177.38/15,409.34
  6. Step 6: Final answer
    x = 11,503.29

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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.