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Finding the Fourth Proportional to 14,102.84, 21,152.58 and 3,715.40

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Solution

The fourth proportional to 14,102.84, 21,152.58 and 3,715.40 is: 5,572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.84 : 21,152.58 = 3,715.40 : x
  2. Step 2: Convert to fraction form
    14,102.84/21,152.58 = 3,715.40/x
  3. Step 3: Cross multiply
    14,102.84x = 21,152.58 × 3,715.40
  4. Step 4: Simplify right side
    14,102.84x = 78,590,295.73
  5. Step 5: Solve for x
    x = 78,590,295.73/14,102.84
  6. Step 6: Final answer
    x = 5,572.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.