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Finding the Fourth Proportional to 19,800.53, 29,703.53 and 6,656.66

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Solution

The fourth proportional to 19,800.53, 29,703.53 and 6,656.66 is: 9,985.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,800.53 : 29,703.53 = 6,656.66 : x
  2. Step 2: Convert to fraction form
    19,800.53/29,703.53 = 6,656.66/x
  3. Step 3: Cross multiply
    19,800.53x = 29,703.53 × 6,656.66
  4. Step 4: Simplify right side
    19,800.53x = 197,726,300.01
  5. Step 5: Solve for x
    x = 197,726,300.01/19,800.53
  6. Step 6: Final answer
    x = 9,985.91

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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.