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Finding the Fourth Proportional to 19,823.94, 29,736 and 4,831.11

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Solution

The fourth proportional to 19,823.94, 29,736 and 4,831.11 is: 7,246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,823.94 : 29,736 = 4,831.11 : x
  2. Step 2: Convert to fraction form
    19,823.94/29,736 = 4,831.11/x
  3. Step 3: Cross multiply
    19,823.94x = 29,736 × 4,831.11
  4. Step 4: Simplify right side
    19,823.94x = 143,657,886.96
  5. Step 5: Solve for x
    x = 143,657,886.96/19,823.94
  6. Step 6: Final answer
    x = 7,246.69

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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.