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Finding the Fourth Proportional to 13,253.06, 19,873.23 and 7,707.89

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Solution

The fourth proportional to 13,253.06, 19,873.23 and 7,707.89 is: 11,558.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,253.06 : 19,873.23 = 7,707.89 : x
  2. Step 2: Convert to fraction form
    13,253.06/19,873.23 = 7,707.89/x
  3. Step 3: Cross multiply
    13,253.06x = 19,873.23 × 7,707.89
  4. Step 4: Simplify right side
    13,253.06x = 153,180,571.42
  5. Step 5: Solve for x
    x = 153,180,571.42/13,253.06
  6. Step 6: Final answer
    x = 11,558.13

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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.