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Finding the Fourth Proportional to 14,554.50, 21,831.78 and 4,167.06

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Solution

The fourth proportional to 14,554.50, 21,831.78 and 4,167.06 is: 6,250.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,554.50 : 21,831.78 = 4,167.06 : x
  2. Step 2: Convert to fraction form
    14,554.50/21,831.78 = 4,167.06/x
  3. Step 3: Cross multiply
    14,554.50x = 21,831.78 × 4,167.06
  4. Step 4: Simplify right side
    14,554.50x = 90,974,337.17
  5. Step 5: Solve for x
    x = 90,974,337.17/14,554.50
  6. Step 6: Final answer
    x = 6,250.60

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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.