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Finding the Fourth Proportional to 14,006.84, 19,330.20 and 8,038.46

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Solution

The fourth proportional to 14,006.84, 19,330.20 and 8,038.46 is: 11,093.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,006.84 : 19,330.20 = 8,038.46 : x
  2. Step 2: Convert to fraction form
    14,006.84/19,330.20 = 8,038.46/x
  3. Step 3: Cross multiply
    14,006.84x = 19,330.20 × 8,038.46
  4. Step 4: Simplify right side
    14,006.84x = 155,385,039.49
  5. Step 5: Solve for x
    x = 155,385,039.49/14,006.84
  6. Step 6: Final answer
    x = 11,093.51

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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.