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Finding the Fourth Proportional to 21,218.64, 31,570.14 and 21,146.01

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Solution

The fourth proportional to 21,218.64, 31,570.14 and 21,146.01 is: 31,462.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,218.64 : 31,570.14 = 21,146.01 : x
  2. Step 2: Convert to fraction form
    21,218.64/31,570.14 = 21,146.01/x
  3. Step 3: Cross multiply
    21,218.64x = 31,570.14 × 21,146.01
  4. Step 4: Simplify right side
    21,218.64x = 667,582,496.14
  5. Step 5: Solve for x
    x = 667,582,496.14/21,218.64
  6. Step 6: Final answer
    x = 31,462.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.