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Finding the Fourth Proportional to 13,851, 19,114.44 and 7,563.51

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Solution

The fourth proportional to 13,851, 19,114.44 and 7,563.51 is: 10,437.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851 : 19,114.44 = 7,563.51 : x
  2. Step 2: Convert to fraction form
    13,851/19,114.44 = 7,563.51/x
  3. Step 3: Cross multiply
    13,851x = 19,114.44 × 7,563.51
  4. Step 4: Simplify right side
    13,851x = 144,572,258.08
  5. Step 5: Solve for x
    x = 144,572,258.08/13,851
  6. Step 6: Final answer
    x = 10,437.68

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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.