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Finding the Fourth Proportional to 14,290.56, 21,443.04 and 6,497.76

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Solution

The fourth proportional to 14,290.56, 21,443.04 and 6,497.76 is: 9,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,290.56 : 21,443.04 = 6,497.76 : x
  2. Step 2: Convert to fraction form
    14,290.56/21,443.04 = 6,497.76/x
  3. Step 3: Cross multiply
    14,290.56x = 21,443.04 × 6,497.76
  4. Step 4: Simplify right side
    14,290.56x = 139,331,727.59
  5. Step 5: Solve for x
    x = 139,331,727.59/14,290.56
  6. Step 6: Final answer
    x = 9,749.91

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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.