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Finding the Fourth Proportional to 23,663.08, 35,498.02 and 7,862.74

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Solution

The fourth proportional to 23,663.08, 35,498.02 and 7,862.74 is: 11,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,663.08 : 35,498.02 = 7,862.74 : x
  2. Step 2: Convert to fraction form
    23,663.08/35,498.02 = 7,862.74/x
  3. Step 3: Cross multiply
    23,663.08x = 35,498.02 × 7,862.74
  4. Step 4: Simplify right side
    23,663.08x = 279,111,701.77
  5. Step 5: Solve for x
    x = 279,111,701.77/23,663.08
  6. Step 6: Final answer
    x = 11,795.24

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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.