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Finding the Fourth Proportional to 13,125.36, 19,702.08 and 6,214.08

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Solution

The fourth proportional to 13,125.36, 19,702.08 and 6,214.08 is: 9,327.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125.36 : 19,702.08 = 6,214.08 : x
  2. Step 2: Convert to fraction form
    13,125.36/19,702.08 = 6,214.08/x
  3. Step 3: Cross multiply
    13,125.36x = 19,702.08 × 6,214.08
  4. Step 4: Simplify right side
    13,125.36x = 122,430,301.29
  5. Step 5: Solve for x
    x = 122,430,301.29/13,125.36
  6. Step 6: Final answer
    x = 9,327.77

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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.