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Finding the Fourth Proportional to 19,875.41, 29,806.92 and 5,831.94

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Solution

The fourth proportional to 19,875.41, 29,806.92 and 5,831.94 is: 8,746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,875.41 : 29,806.92 = 5,831.94 : x
  2. Step 2: Convert to fraction form
    19,875.41/29,806.92 = 5,831.94/x
  3. Step 3: Cross multiply
    19,875.41x = 29,806.92 × 5,831.94
  4. Step 4: Simplify right side
    19,875.41x = 173,832,169.02
  5. Step 5: Solve for x
    x = 173,832,169.02/19,875.41
  6. Step 6: Final answer
    x = 8,746.09

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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.