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Finding the Fourth Proportional to 14,905.14, 20,569.66 and 8,935.68

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Solution

The fourth proportional to 14,905.14, 20,569.66 and 8,935.68 is: 12,331.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,905.14 : 20,569.66 = 8,935.68 : x
  2. Step 2: Convert to fraction form
    14,905.14/20,569.66 = 8,935.68/x
  3. Step 3: Cross multiply
    14,905.14x = 20,569.66 × 8,935.68
  4. Step 4: Simplify right side
    14,905.14x = 183,803,899.47
  5. Step 5: Solve for x
    x = 183,803,899.47/14,905.14
  6. Step 6: Final answer
    x = 12,331.58

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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.