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Finding the Fourth Proportional to 14,406.57, 19,897.61 and 9,618.17

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Solution

The fourth proportional to 14,406.57, 19,897.61 and 9,618.17 is: 13,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.57 : 19,897.61 = 9,618.17 : x
  2. Step 2: Convert to fraction form
    14,406.57/19,897.61 = 9,618.17/x
  3. Step 3: Cross multiply
    14,406.57x = 19,897.61 × 9,618.17
  4. Step 4: Simplify right side
    14,406.57x = 191,378,447.99
  5. Step 5: Solve for x
    x = 191,378,447.99/14,406.57
  6. Step 6: Final answer
    x = 13,284.11

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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.