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Finding the Fourth Proportional to 12,533.25, 18,792.59 and 5,513.07

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Solution

The fourth proportional to 12,533.25, 18,792.59 and 5,513.07 is: 8,266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,533.25 : 18,792.59 = 5,513.07 : x
  2. Step 2: Convert to fraction form
    12,533.25/18,792.59 = 5,513.07/x
  3. Step 3: Cross multiply
    12,533.25x = 18,792.59 × 5,513.07
  4. Step 4: Simplify right side
    12,533.25x = 103,604,836.59
  5. Step 5: Solve for x
    x = 103,604,836.59/12,533.25
  6. Step 6: Final answer
    x = 8,266.40

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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.