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Finding the Fourth Proportional to 14,797.90, 22,208.62 and 7,782.02

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Solution

The fourth proportional to 14,797.90, 22,208.62 and 7,782.02 is: 11,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,797.90 : 22,208.62 = 7,782.02 : x
  2. Step 2: Convert to fraction form
    14,797.90/22,208.62 = 7,782.02/x
  3. Step 3: Cross multiply
    14,797.90x = 22,208.62 × 7,782.02
  4. Step 4: Simplify right side
    14,797.90x = 172,827,925.01
  5. Step 5: Solve for x
    x = 172,827,925.01/14,797.90
  6. Step 6: Final answer
    x = 11,679.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.