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Finding the Fourth Proportional to 19,588.84, 29,365.50 and 7,105.96

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Solution

The fourth proportional to 19,588.84, 29,365.50 and 7,105.96 is: 10,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,588.84 : 29,365.50 = 7,105.96 : x
  2. Step 2: Convert to fraction form
    19,588.84/29,365.50 = 7,105.96/x
  3. Step 3: Cross multiply
    19,588.84x = 29,365.50 × 7,105.96
  4. Step 4: Simplify right side
    19,588.84x = 208,670,068.38
  5. Step 5: Solve for x
    x = 208,670,068.38/19,588.84
  6. Step 6: Final answer
    x = 10,652.50

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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.