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Finding the Fourth Proportional to 14,203.58, 19,601.61 and 7,916

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Solution

The fourth proportional to 14,203.58, 19,601.61 and 7,916 is: 10,924.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,203.58 : 19,601.61 = 7,916 : x
  2. Step 2: Convert to fraction form
    14,203.58/19,601.61 = 7,916/x
  3. Step 3: Cross multiply
    14,203.58x = 19,601.61 × 7,916
  4. Step 4: Simplify right side
    14,203.58x = 155,166,344.76
  5. Step 5: Solve for x
    x = 155,166,344.76/14,203.58
  6. Step 6: Final answer
    x = 10,924.45

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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.