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Finding the Fourth Proportional to 13,036.36, 19,580.76 and 7,781.65

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Solution

The fourth proportional to 13,036.36, 19,580.76 and 7,781.65 is: 11,688.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,036.36 : 19,580.76 = 7,781.65 : x
  2. Step 2: Convert to fraction form
    13,036.36/19,580.76 = 7,781.65/x
  3. Step 3: Cross multiply
    13,036.36x = 19,580.76 × 7,781.65
  4. Step 4: Simplify right side
    13,036.36x = 152,370,621.05
  5. Step 5: Solve for x
    x = 152,370,621.05/13,036.36
  6. Step 6: Final answer
    x = 11,688.13

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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.