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Finding the Fourth Proportional to 14,411.25, 19,888.20 and 8,123.63

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Solution

The fourth proportional to 14,411.25, 19,888.20 and 8,123.63 is: 11,210.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,411.25 : 19,888.20 = 8,123.63 : x
  2. Step 2: Convert to fraction form
    14,411.25/19,888.20 = 8,123.63/x
  3. Step 3: Cross multiply
    14,411.25x = 19,888.20 × 8,123.63
  4. Step 4: Simplify right side
    14,411.25x = 161,564,278.73
  5. Step 5: Solve for x
    x = 161,564,278.73/14,411.25
  6. Step 6: Final answer
    x = 11,210.98

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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.