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Finding the Fourth Proportional to 21,114.84, 31,681.47 and 10,029.36

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Solution

The fourth proportional to 21,114.84, 31,681.47 and 10,029.36 is: 15,048.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,114.84 : 31,681.47 = 10,029.36 : x
  2. Step 2: Convert to fraction form
    21,114.84/31,681.47 = 10,029.36/x
  3. Step 3: Cross multiply
    21,114.84x = 31,681.47 × 10,029.36
  4. Step 4: Simplify right side
    21,114.84x = 317,744,867.96
  5. Step 5: Solve for x
    x = 317,744,867.96/21,114.84
  6. Step 6: Final answer
    x = 15,048.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.