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Finding the Fourth Proportional to 12,533.53, 18,807.72 and 4,641.61

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Solution

The fourth proportional to 12,533.53, 18,807.72 and 4,641.61 is: 6,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.53 : 18,807.72 = 4,641.61 : x
  2. Step 2: Convert to fraction form
    12,533.53/18,807.72 = 4,641.61/x
  3. Step 3: Cross multiply
    12,533.53x = 18,807.72 × 4,641.61
  4. Step 4: Simplify right side
    12,533.53x = 87,298,101.23
  5. Step 5: Solve for x
    x = 87,298,101.23/12,533.53
  6. Step 6: Final answer
    x = 6,965.16

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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.