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Finding the Fourth Proportional to 14,347.92, 19,794.60 and 10,580

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Solution

The fourth proportional to 14,347.92, 19,794.60 and 10,580 is: 14,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,347.92 : 19,794.60 = 10,580 : x
  2. Step 2: Convert to fraction form
    14,347.92/19,794.60 = 10,580/x
  3. Step 3: Cross multiply
    14,347.92x = 19,794.60 × 10,580
  4. Step 4: Simplify right side
    14,347.92x = 209,426,868.00
  5. Step 5: Solve for x
    x = 209,426,868.00/14,347.92
  6. Step 6: Final answer
    x = 14,596.32

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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.