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Finding the Fourth Proportional to 13,353.18, 20,022.93 and 7,807.74

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Solution

The fourth proportional to 13,353.18, 20,022.93 and 7,807.74 is: 11,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,353.18 : 20,022.93 = 7,807.74 : x
  2. Step 2: Convert to fraction form
    13,353.18/20,022.93 = 7,807.74/x
  3. Step 3: Cross multiply
    13,353.18x = 20,022.93 × 7,807.74
  4. Step 4: Simplify right side
    13,353.18x = 156,333,831.48
  5. Step 5: Solve for x
    x = 156,333,831.48/13,353.18
  6. Step 6: Final answer
    x = 11,707.61

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1.5x scale

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.