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Finding the Fourth Proportional to 18,922.14, 26,111.70 and 10,964.16

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Solution

The fourth proportional to 18,922.14, 26,111.70 and 10,964.16 is: 15,130.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,922.14 : 26,111.70 = 10,964.16 : x
  2. Step 2: Convert to fraction form
    18,922.14/26,111.70 = 10,964.16/x
  3. Step 3: Cross multiply
    18,922.14x = 26,111.70 × 10,964.16
  4. Step 4: Simplify right side
    18,922.14x = 286,292,856.67
  5. Step 5: Solve for x
    x = 286,292,856.67/18,922.14
  6. Step 6: Final answer
    x = 15,130.05

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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.