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Finding the Fourth Proportional to 14,277.76, 19,703.36 and 7,990.12

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Solution

The fourth proportional to 14,277.76, 19,703.36 and 7,990.12 is: 11,026.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,277.76 : 19,703.36 = 7,990.12 : x
  2. Step 2: Convert to fraction form
    14,277.76/19,703.36 = 7,990.12/x
  3. Step 3: Cross multiply
    14,277.76x = 19,703.36 × 7,990.12
  4. Step 4: Simplify right side
    14,277.76x = 157,432,210.80
  5. Step 5: Solve for x
    x = 157,432,210.80/14,277.76
  6. Step 6: Final answer
    x = 11,026.39

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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.