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Finding the Fourth Proportional to 19,616.57, 27,069.73 and 10,664

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Solution

The fourth proportional to 19,616.57, 27,069.73 and 10,664 is: 14,715.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616.57 : 27,069.73 = 10,664 : x
  2. Step 2: Convert to fraction form
    19,616.57/27,069.73 = 10,664/x
  3. Step 3: Cross multiply
    19,616.57x = 27,069.73 × 10,664
  4. Step 4: Simplify right side
    19,616.57x = 288,671,600.72
  5. Step 5: Solve for x
    x = 288,671,600.72/19,616.57
  6. Step 6: Final answer
    x = 14,715.70

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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.