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Finding the Fourth Proportional to 15,809.60, 23,721.60 and 7,486.40

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Solution

The fourth proportional to 15,809.60, 23,721.60 and 7,486.40 is: 11,233.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,809.60 : 23,721.60 = 7,486.40 : x
  2. Step 2: Convert to fraction form
    15,809.60/23,721.60 = 7,486.40/x
  3. Step 3: Cross multiply
    15,809.60x = 23,721.60 × 7,486.40
  4. Step 4: Simplify right side
    15,809.60x = 177,589,386.24
  5. Step 5: Solve for x
    x = 177,589,386.24/15,809.60
  6. Step 6: Final answer
    x = 11,233.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.