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Finding the Fourth Proportional to 13,205.97, 19,807.76 and 4,886.06

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Solution

The fourth proportional to 13,205.97, 19,807.76 and 4,886.06 is: 7,328.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205.97 : 19,807.76 = 4,886.06 : x
  2. Step 2: Convert to fraction form
    13,205.97/19,807.76 = 4,886.06/x
  3. Step 3: Cross multiply
    13,205.97x = 19,807.76 × 4,886.06
  4. Step 4: Simplify right side
    13,205.97x = 96,781,817.00
  5. Step 5: Solve for x
    x = 96,781,817.00/13,205.97
  6. Step 6: Final answer
    x = 7,328.64

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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.