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Finding the Fourth Proportional to 14,176.64, 19,564.53 and 7,889.15

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Solution

The fourth proportional to 14,176.64, 19,564.53 and 7,889.15 is: 10,887.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,176.64 : 19,564.53 = 7,889.15 : x
  2. Step 2: Convert to fraction form
    14,176.64/19,564.53 = 7,889.15/x
  3. Step 3: Cross multiply
    14,176.64x = 19,564.53 × 7,889.15
  4. Step 4: Simplify right side
    14,176.64x = 154,347,511.85
  5. Step 5: Solve for x
    x = 154,347,511.85/14,176.64
  6. Step 6: Final answer
    x = 10,887.45

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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.