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Finding the Fourth Proportional to 13,985.88, 19,300.14 and 7,698.21

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Solution

The fourth proportional to 13,985.88, 19,300.14 and 7,698.21 is: 10,623.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.88 : 19,300.14 = 7,698.21 : x
  2. Step 2: Convert to fraction form
    13,985.88/19,300.14 = 7,698.21/x
  3. Step 3: Cross multiply
    13,985.88x = 19,300.14 × 7,698.21
  4. Step 4: Simplify right side
    13,985.88x = 148,576,530.75
  5. Step 5: Solve for x
    x = 148,576,530.75/13,985.88
  6. Step 6: Final answer
    x = 10,623.32

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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.