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Finding the Fourth Proportional to 14,569.56, 21,869.52 and 12,914.20

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Solution

The fourth proportional to 14,569.56, 21,869.52 and 12,914.20 is: 19,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,569.56 : 21,869.52 = 12,914.20 : x
  2. Step 2: Convert to fraction form
    14,569.56/21,869.52 = 12,914.20/x
  3. Step 3: Cross multiply
    14,569.56x = 21,869.52 × 12,914.20
  4. Step 4: Simplify right side
    14,569.56x = 282,427,355.18
  5. Step 5: Solve for x
    x = 282,427,355.18/14,569.56
  6. Step 6: Final answer
    x = 19,384.76

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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.