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Finding the Fourth Proportional to 13,963.76, 19,271.16 and 7,677.32

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Solution

The fourth proportional to 13,963.76, 19,271.16 and 7,677.32 is: 10,595.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963.76 : 19,271.16 = 7,677.32 : x
  2. Step 2: Convert to fraction form
    13,963.76/19,271.16 = 7,677.32/x
  3. Step 3: Cross multiply
    13,963.76x = 19,271.16 × 7,677.32
  4. Step 4: Simplify right side
    13,963.76x = 147,950,862.09
  5. Step 5: Solve for x
    x = 147,950,862.09/13,963.76
  6. Step 6: Final answer
    x = 10,595.35

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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.