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Finding the Fourth Proportional to 19,523.98, 29,298 and 7,675.66

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Solution

The fourth proportional to 19,523.98, 29,298 and 7,675.66 is: 11,518.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,523.98 : 29,298 = 7,675.66 : x
  2. Step 2: Convert to fraction form
    19,523.98/29,298 = 7,675.66/x
  3. Step 3: Cross multiply
    19,523.98x = 29,298 × 7,675.66
  4. Step 4: Simplify right side
    19,523.98x = 224,881,340.19
  5. Step 5: Solve for x
    x = 224,881,340.19/19,523.98
  6. Step 6: Final answer
    x = 11,518.21

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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.