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Finding the Fourth Proportional to 13,038.85, 19,555.26 and 7,775.34

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Solution

The fourth proportional to 13,038.85, 19,555.26 and 7,775.34 is: 11,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038.85 : 19,555.26 = 7,775.34 : x
  2. Step 2: Convert to fraction form
    13,038.85/19,555.26 = 7,775.34/x
  3. Step 3: Cross multiply
    13,038.85x = 19,555.26 × 7,775.34
  4. Step 4: Simplify right side
    13,038.85x = 152,048,795.29
  5. Step 5: Solve for x
    x = 152,048,795.29/13,038.85
  6. Step 6: Final answer
    x = 11,661.21

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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.