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Finding the Fourth Proportional to 13,927.16, 19,219.63 and 7,553.76

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Solution

The fourth proportional to 13,927.16, 19,219.63 and 7,553.76 is: 10,424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,927.16 : 19,219.63 = 7,553.76 : x
  2. Step 2: Convert to fraction form
    13,927.16/19,219.63 = 7,553.76/x
  3. Step 3: Cross multiply
    13,927.16x = 19,219.63 × 7,553.76
  4. Step 4: Simplify right side
    13,927.16x = 145,180,417.39
  5. Step 5: Solve for x
    x = 145,180,417.39/13,927.16
  6. Step 6: Final answer
    x = 10,424.27

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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.