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Finding the Fourth Proportional to 12,046.32, 18,055.62 and 4,647.51

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Solution

The fourth proportional to 12,046.32, 18,055.62 and 4,647.51 is: 6,965.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046.32 : 18,055.62 = 4,647.51 : x
  2. Step 2: Convert to fraction form
    12,046.32/18,055.62 = 4,647.51/x
  3. Step 3: Cross multiply
    12,046.32x = 18,055.62 × 4,647.51
  4. Step 4: Simplify right side
    12,046.32x = 83,913,674.51
  5. Step 5: Solve for x
    x = 83,913,674.51/12,046.32
  6. Step 6: Final answer
    x = 6,965.92

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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.