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Finding the Fourth Proportional to 14,123.92, 19,488.94 and 8,457.36

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Solution

The fourth proportional to 14,123.92, 19,488.94 and 8,457.36 is: 11,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.92 : 19,488.94 = 8,457.36 : x
  2. Step 2: Convert to fraction form
    14,123.92/19,488.94 = 8,457.36/x
  3. Step 3: Cross multiply
    14,123.92x = 19,488.94 × 8,457.36
  4. Step 4: Simplify right side
    14,123.92x = 164,824,981.60
  5. Step 5: Solve for x
    x = 164,824,981.60/14,123.92
  6. Step 6: Final answer
    x = 11,669.92

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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.