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Finding the Fourth Proportional to 13,306.51, 19,955.71 and 5,513.50

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Solution

The fourth proportional to 13,306.51, 19,955.71 and 5,513.50 is: 8,268.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,306.51 : 19,955.71 = 5,513.50 : x
  2. Step 2: Convert to fraction form
    13,306.51/19,955.71 = 5,513.50/x
  3. Step 3: Cross multiply
    13,306.51x = 19,955.71 × 5,513.50
  4. Step 4: Simplify right side
    13,306.51x = 110,025,807.09
  5. Step 5: Solve for x
    x = 110,025,807.09/13,306.51
  6. Step 6: Final answer
    x = 8,268.57

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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.