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Finding the Fourth Proportional to 14,900.64, 22,353.76 and 7,110

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Solution

The fourth proportional to 14,900.64, 22,353.76 and 7,110 is: 10,666.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,900.64 : 22,353.76 = 7,110 : x
  2. Step 2: Convert to fraction form
    14,900.64/22,353.76 = 7,110/x
  3. Step 3: Cross multiply
    14,900.64x = 22,353.76 × 7,110
  4. Step 4: Simplify right side
    14,900.64x = 158,935,233.60
  5. Step 5: Solve for x
    x = 158,935,233.60/14,900.64
  6. Step 6: Final answer
    x = 10,666.34

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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.