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Finding the Fourth Proportional to 14,416, 19,894.08 and 7,792

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Solution

The fourth proportional to 14,416, 19,894.08 and 7,792 is: 10,752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416 : 19,894.08 = 7,792 : x
  2. Step 2: Convert to fraction form
    14,416/19,894.08 = 7,792/x
  3. Step 3: Cross multiply
    14,416x = 19,894.08 × 7,792
  4. Step 4: Simplify right side
    14,416x = 155,014,671.36
  5. Step 5: Solve for x
    x = 155,014,671.36/14,416
  6. Step 6: Final answer
    x = 10,752.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.