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Finding the Fourth Proportional to 19,909.96, 29,865.64 and 6,583.28

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Solution

The fourth proportional to 19,909.96, 29,865.64 and 6,583.28 is: 9,875.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,909.96 : 29,865.64 = 6,583.28 : x
  2. Step 2: Convert to fraction form
    19,909.96/29,865.64 = 6,583.28/x
  3. Step 3: Cross multiply
    19,909.96x = 29,865.64 × 6,583.28
  4. Step 4: Simplify right side
    19,909.96x = 196,613,870.50
  5. Step 5: Solve for x
    x = 196,613,870.50/19,909.96
  6. Step 6: Final answer
    x = 9,875.15

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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.