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Finding the Fourth Proportional to 13,118.85, 19,678.50 and 7,312.37

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Solution

The fourth proportional to 13,118.85, 19,678.50 and 7,312.37 is: 10,968.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,118.85 : 19,678.50 = 7,312.37 : x
  2. Step 2: Convert to fraction form
    13,118.85/19,678.50 = 7,312.37/x
  3. Step 3: Cross multiply
    13,118.85x = 19,678.50 × 7,312.37
  4. Step 4: Simplify right side
    13,118.85x = 143,896,374.65
  5. Step 5: Solve for x
    x = 143,896,374.65/13,118.85
  6. Step 6: Final answer
    x = 10,968.67

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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.