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Finding the Fourth Proportional to 15,074.72, 20,802.84 and 8,360

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Solution

The fourth proportional to 15,074.72, 20,802.84 and 8,360 is: 11,536.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,074.72 : 20,802.84 = 8,360 : x
  2. Step 2: Convert to fraction form
    15,074.72/20,802.84 = 8,360/x
  3. Step 3: Cross multiply
    15,074.72x = 20,802.84 × 8,360
  4. Step 4: Simplify right side
    15,074.72x = 173,911,742.40
  5. Step 5: Solve for x
    x = 173,911,742.40/15,074.72
  6. Step 6: Final answer
    x = 11,536.65

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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.