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Finding the Fourth Proportional to 19,619.82, 29,385.18 and 9,737.01

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Solution

The fourth proportional to 19,619.82, 29,385.18 and 9,737.01 is: 14,583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,619.82 : 29,385.18 = 9,737.01 : x
  2. Step 2: Convert to fraction form
    19,619.82/29,385.18 = 9,737.01/x
  3. Step 3: Cross multiply
    19,619.82x = 29,385.18 × 9,737.01
  4. Step 4: Simplify right side
    19,619.82x = 286,123,791.51
  5. Step 5: Solve for x
    x = 286,123,791.51/19,619.82
  6. Step 6: Final answer
    x = 14,583.41

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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.