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Finding the Fourth Proportional to 13,970.29, 19,277.54 and 8,002.21

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Solution

The fourth proportional to 13,970.29, 19,277.54 and 8,002.21 is: 11,042.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.29 : 19,277.54 = 8,002.21 : x
  2. Step 2: Convert to fraction form
    13,970.29/19,277.54 = 8,002.21/x
  3. Step 3: Cross multiply
    13,970.29x = 19,277.54 × 8,002.21
  4. Step 4: Simplify right side
    13,970.29x = 154,262,865.17
  5. Step 5: Solve for x
    x = 154,262,865.17/13,970.29
  6. Step 6: Final answer
    x = 11,042.21

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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.