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Finding the Fourth Proportional to 15,820.34, 21,831.21 and 8,746.34

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Solution

The fourth proportional to 15,820.34, 21,831.21 and 8,746.34 is: 12,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.34 : 21,831.21 = 8,746.34 : x
  2. Step 2: Convert to fraction form
    15,820.34/21,831.21 = 8,746.34/x
  3. Step 3: Cross multiply
    15,820.34x = 21,831.21 × 8,746.34
  4. Step 4: Simplify right side
    15,820.34x = 190,943,185.27
  5. Step 5: Solve for x
    x = 190,943,185.27/15,820.34
  6. Step 6: Final answer
    x = 12,069.47

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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.