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Finding the Fourth Proportional to 14,671.98, 22,029.84 and 10,297.98

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Solution

The fourth proportional to 14,671.98, 22,029.84 and 10,297.98 is: 15,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,671.98 : 22,029.84 = 10,297.98 : x
  2. Step 2: Convert to fraction form
    14,671.98/22,029.84 = 10,297.98/x
  3. Step 3: Cross multiply
    14,671.98x = 22,029.84 × 10,297.98
  4. Step 4: Simplify right side
    14,671.98x = 226,862,851.72
  5. Step 5: Solve for x
    x = 226,862,851.72/14,671.98
  6. Step 6: Final answer
    x = 15,462.32

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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.