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Finding the Fourth Proportional to 14,570.76, 21,856.12 and 3,626.76

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Solution

The fourth proportional to 14,570.76, 21,856.12 and 3,626.76 is: 5,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570.76 : 21,856.12 = 3,626.76 : x
  2. Step 2: Convert to fraction form
    14,570.76/21,856.12 = 3,626.76/x
  3. Step 3: Cross multiply
    14,570.76x = 21,856.12 × 3,626.76
  4. Step 4: Simplify right side
    14,570.76x = 79,266,901.77
  5. Step 5: Solve for x
    x = 79,266,901.77/14,570.76
  6. Step 6: Final answer
    x = 5,440.14

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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.