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Finding the Fourth Proportional to 23,430.68, 35,146.80 and 7,635.68

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Solution

The fourth proportional to 23,430.68, 35,146.80 and 7,635.68 is: 11,453.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,430.68 : 35,146.80 = 7,635.68 : x
  2. Step 2: Convert to fraction form
    23,430.68/35,146.80 = 7,635.68/x
  3. Step 3: Cross multiply
    23,430.68x = 35,146.80 × 7,635.68
  4. Step 4: Simplify right side
    23,430.68x = 268,369,717.82
  5. Step 5: Solve for x
    x = 268,369,717.82/23,430.68
  6. Step 6: Final answer
    x = 11,453.77

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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.