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Finding the Fourth Proportional to 15,820.61, 21,831.75 and 9,106.46

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Solution

The fourth proportional to 15,820.61, 21,831.75 and 9,106.46 is: 12,566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.61 : 21,831.75 = 9,106.46 : x
  2. Step 2: Convert to fraction form
    15,820.61/21,831.75 = 9,106.46/x
  3. Step 3: Cross multiply
    15,820.61x = 21,831.75 × 9,106.46
  4. Step 4: Simplify right side
    15,820.61x = 198,809,958.11
  5. Step 5: Solve for x
    x = 198,809,958.11/15,820.61
  6. Step 6: Final answer
    x = 12,566.52

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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.