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Finding the Fourth Proportional to 13,125, 19,693.30 and 6,883.52

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Solution

The fourth proportional to 13,125, 19,693.30 and 6,883.52 is: 10,328.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,125 : 19,693.30 = 6,883.52 : x
  2. Step 2: Convert to fraction form
    13,125/19,693.30 = 6,883.52/x
  3. Step 3: Cross multiply
    13,125x = 19,693.30 × 6,883.52
  4. Step 4: Simplify right side
    13,125x = 135,559,224.42
  5. Step 5: Solve for x
    x = 135,559,224.42/13,125
  6. Step 6: Final answer
    x = 10,328.32

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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.