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Finding the Fourth Proportional to 20,554.16, 30,831.25 and 4,971.80

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Solution

The fourth proportional to 20,554.16, 30,831.25 and 4,971.80 is: 7,457.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,554.16 : 30,831.25 = 4,971.80 : x
  2. Step 2: Convert to fraction form
    20,554.16/30,831.25 = 4,971.80/x
  3. Step 3: Cross multiply
    20,554.16x = 30,831.25 × 4,971.80
  4. Step 4: Simplify right side
    20,554.16x = 153,286,808.75
  5. Step 5: Solve for x
    x = 153,286,808.75/20,554.16
  6. Step 6: Final answer
    x = 7,457.70

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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.