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Finding the Fourth Proportional to 19,673.40, 29,510.10 and 9,831.90

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Solution

The fourth proportional to 19,673.40, 29,510.10 and 9,831.90 is: 14,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673.40 : 29,510.10 = 9,831.90 : x
  2. Step 2: Convert to fraction form
    19,673.40/29,510.10 = 9,831.90/x
  3. Step 3: Cross multiply
    19,673.40x = 29,510.10 × 9,831.90
  4. Step 4: Simplify right side
    19,673.40x = 290,140,352.19
  5. Step 5: Solve for x
    x = 290,140,352.19/19,673.40
  6. Step 6: Final answer
    x = 14,747.85

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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.