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Finding the Fourth Proportional to 13,985.59, 19,300.14 and 7,697.97

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Solution

The fourth proportional to 13,985.59, 19,300.14 and 7,697.97 is: 10,623.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.59 : 19,300.14 = 7,697.97 : x
  2. Step 2: Convert to fraction form
    13,985.59/19,300.14 = 7,697.97/x
  3. Step 3: Cross multiply
    13,985.59x = 19,300.14 × 7,697.97
  4. Step 4: Simplify right side
    13,985.59x = 148,571,898.72
  5. Step 5: Solve for x
    x = 148,571,898.72/13,985.59
  6. Step 6: Final answer
    x = 10,623.21

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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.