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Finding the Fourth Proportional to 23,848.53, 35,776.56 and 7,206.51

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Solution

The fourth proportional to 23,848.53, 35,776.56 and 7,206.51 is: 10,810.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,848.53 : 35,776.56 = 7,206.51 : x
  2. Step 2: Convert to fraction form
    23,848.53/35,776.56 = 7,206.51/x
  3. Step 3: Cross multiply
    23,848.53x = 35,776.56 × 7,206.51
  4. Step 4: Simplify right side
    23,848.53x = 257,824,137.41
  5. Step 5: Solve for x
    x = 257,824,137.41/23,848.53
  6. Step 6: Final answer
    x = 10,810.90

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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.