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Finding the Fourth Proportional to 19,412.57, 29,111.64 and 6,929.25

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Solution

The fourth proportional to 19,412.57, 29,111.64 and 6,929.25 is: 10,391.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,412.57 : 29,111.64 = 6,929.25 : x
  2. Step 2: Convert to fraction form
    19,412.57/29,111.64 = 6,929.25/x
  3. Step 3: Cross multiply
    19,412.57x = 29,111.64 × 6,929.25
  4. Step 4: Simplify right side
    19,412.57x = 201,721,831.47
  5. Step 5: Solve for x
    x = 201,721,831.47/19,412.57
  6. Step 6: Final answer
    x = 10,391.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.