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Finding the Fourth Proportional to 21,823.14, 30,119.86 and 12,870.12

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Solution

The fourth proportional to 21,823.14, 30,119.86 and 12,870.12 is: 17,763.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,823.14 : 30,119.86 = 12,870.12 : x
  2. Step 2: Convert to fraction form
    21,823.14/30,119.86 = 12,870.12/x
  3. Step 3: Cross multiply
    21,823.14x = 30,119.86 × 12,870.12
  4. Step 4: Simplify right side
    21,823.14x = 387,646,212.58
  5. Step 5: Solve for x
    x = 387,646,212.58/21,823.14
  6. Step 6: Final answer
    x = 17,763.08

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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.