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Finding the Fourth Proportional to 13,152, 19,719.36 and 6,222.72

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Solution

The fourth proportional to 13,152, 19,719.36 and 6,222.72 is: 9,329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,152 : 19,719.36 = 6,222.72 : x
  2. Step 2: Convert to fraction form
    13,152/19,719.36 = 6,222.72/x
  3. Step 3: Cross multiply
    13,152x = 19,719.36 × 6,222.72
  4. Step 4: Simplify right side
    13,152x = 122,708,055.86
  5. Step 5: Solve for x
    x = 122,708,055.86/13,152
  6. Step 6: Final answer
    x = 9,329.99

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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.