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Finding the Fourth Proportional to 19,707.69, 29,565.18 and 6,384.21

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Solution

The fourth proportional to 19,707.69, 29,565.18 and 6,384.21 is: 9,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,707.69 : 29,565.18 = 6,384.21 : x
  2. Step 2: Convert to fraction form
    19,707.69/29,565.18 = 6,384.21/x
  3. Step 3: Cross multiply
    19,707.69x = 29,565.18 × 6,384.21
  4. Step 4: Simplify right side
    19,707.69x = 188,750,317.81
  5. Step 5: Solve for x
    x = 188,750,317.81/19,707.69
  6. Step 6: Final answer
    x = 9,577.50

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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.