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Finding the Fourth Proportional to 13,047.90, 19,572.95 and 4,164.51

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Solution

The fourth proportional to 13,047.90, 19,572.95 and 4,164.51 is: 6,247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,047.90 : 19,572.95 = 4,164.51 : x
  2. Step 2: Convert to fraction form
    13,047.90/19,572.95 = 4,164.51/x
  3. Step 3: Cross multiply
    13,047.90x = 19,572.95 × 4,164.51
  4. Step 4: Simplify right side
    13,047.90x = 81,511,725.18
  5. Step 5: Solve for x
    x = 81,511,725.18/13,047.90
  6. Step 6: Final answer
    x = 6,247.11

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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.