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Finding the Fourth Proportional to 13,846.76, 19,109.64 and 7,880.24

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Solution

The fourth proportional to 13,846.76, 19,109.64 and 7,880.24 is: 10,875.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.76 : 19,109.64 = 7,880.24 : x
  2. Step 2: Convert to fraction form
    13,846.76/19,109.64 = 7,880.24/x
  3. Step 3: Cross multiply
    13,846.76x = 19,109.64 × 7,880.24
  4. Step 4: Simplify right side
    13,846.76x = 150,588,549.51
  5. Step 5: Solve for x
    x = 150,588,549.51/13,846.76
  6. Step 6: Final answer
    x = 10,875.36

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