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Finding the Fourth Proportional to 13,187.84, 19,784.16 and 4,423.68

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Solution

The fourth proportional to 13,187.84, 19,784.16 and 4,423.68 is: 6,636.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.84 : 19,784.16 = 4,423.68 : x
  2. Step 2: Convert to fraction form
    13,187.84/19,784.16 = 4,423.68/x
  3. Step 3: Cross multiply
    13,187.84x = 19,784.16 × 4,423.68
  4. Step 4: Simplify right side
    13,187.84x = 87,518,792.91
  5. Step 5: Solve for x
    x = 87,518,792.91/13,187.84
  6. Step 6: Final answer
    x = 6,636.33

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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.