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Finding the Fourth Proportional to 13,036.37, 19,580.76 and 7,781.67

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Solution

The fourth proportional to 13,036.37, 19,580.76 and 7,781.67 is: 11,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,036.37 : 19,580.76 = 7,781.67 : x
  2. Step 2: Convert to fraction form
    13,036.37/19,580.76 = 7,781.67/x
  3. Step 3: Cross multiply
    13,036.37x = 19,580.76 × 7,781.67
  4. Step 4: Simplify right side
    13,036.37x = 152,371,012.67
  5. Step 5: Solve for x
    x = 152,371,012.67/13,036.37
  6. Step 6: Final answer
    x = 11,688.15

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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.