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Finding the Fourth Proportional to 13,331.67, 19,973.81 and 7,780.34

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Solution

The fourth proportional to 13,331.67, 19,973.81 and 7,780.34 is: 11,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,331.67 : 19,973.81 = 7,780.34 : x
  2. Step 2: Convert to fraction form
    13,331.67/19,973.81 = 7,780.34/x
  3. Step 3: Cross multiply
    13,331.67x = 19,973.81 × 7,780.34
  4. Step 4: Simplify right side
    13,331.67x = 155,402,894.12
  5. Step 5: Solve for x
    x = 155,402,894.12/13,331.67
  6. Step 6: Final answer
    x = 11,656.67

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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.