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Finding the Fourth Proportional to 14,297.56, 19,686.59 and 12,701.44

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Solution

The fourth proportional to 14,297.56, 19,686.59 and 12,701.44 is: 17,488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.56 : 19,686.59 = 12,701.44 : x
  2. Step 2: Convert to fraction form
    14,297.56/19,686.59 = 12,701.44/x
  3. Step 3: Cross multiply
    14,297.56x = 19,686.59 × 12,701.44
  4. Step 4: Simplify right side
    14,297.56x = 250,048,041.69
  5. Step 5: Solve for x
    x = 250,048,041.69/14,297.56
  6. Step 6: Final answer
    x = 17,488.86

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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.