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Finding the Fourth Proportional to 13,820.40, 19,068.75 and 8,441.46

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Solution

The fourth proportional to 13,820.40, 19,068.75 and 8,441.46 is: 11,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.40 : 19,068.75 = 8,441.46 : x
  2. Step 2: Convert to fraction form
    13,820.40/19,068.75 = 8,441.46/x
  3. Step 3: Cross multiply
    13,820.40x = 19,068.75 × 8,441.46
  4. Step 4: Simplify right side
    13,820.40x = 160,968,090.38
  5. Step 5: Solve for x
    x = 160,968,090.38/13,820.40
  6. Step 6: Final answer
    x = 11,647.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.