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Finding the Fourth Proportional to 19,564.86, 29,351.54 and 6,416.74

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Solution

The fourth proportional to 19,564.86, 29,351.54 and 6,416.74 is: 9,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564.86 : 29,351.54 = 6,416.74 : x
  2. Step 2: Convert to fraction form
    19,564.86/29,351.54 = 6,416.74/x
  3. Step 3: Cross multiply
    19,564.86x = 29,351.54 × 6,416.74
  4. Step 4: Simplify right side
    19,564.86x = 188,341,253.51
  5. Step 5: Solve for x
    x = 188,341,253.51/19,564.86
  6. Step 6: Final answer
    x = 9,626.50

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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.