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Finding the Fourth Proportional to 13,225.85, 19,838.68 and 3,365

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Solution

The fourth proportional to 13,225.85, 19,838.68 and 3,365 is: 5,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.85 : 19,838.68 = 3,365 : x
  2. Step 2: Convert to fraction form
    13,225.85/19,838.68 = 3,365/x
  3. Step 3: Cross multiply
    13,225.85x = 19,838.68 × 3,365
  4. Step 4: Simplify right side
    13,225.85x = 66,757,158.20
  5. Step 5: Solve for x
    x = 66,757,158.20/13,225.85
  6. Step 6: Final answer
    x = 5,047.48

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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.