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Finding the Fourth Proportional to 14,222.12, 19,626.72 and 7,848.71

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Solution

The fourth proportional to 14,222.12, 19,626.72 and 7,848.71 is: 10,831.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,222.12 : 19,626.72 = 7,848.71 : x
  2. Step 2: Convert to fraction form
    14,222.12/19,626.72 = 7,848.71/x
  3. Step 3: Cross multiply
    14,222.12x = 19,626.72 × 7,848.71
  4. Step 4: Simplify right side
    14,222.12x = 154,044,482.60
  5. Step 5: Solve for x
    x = 154,044,482.60/14,222.12
  6. Step 6: Final answer
    x = 10,831.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.