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Finding the Fourth Proportional to 13,985.44, 19,300.08 and 7,697.86

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Solution

The fourth proportional to 13,985.44, 19,300.08 and 7,697.86 is: 10,623.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,985.44 : 19,300.08 = 7,697.86 : x
  2. Step 2: Convert to fraction form
    13,985.44/19,300.08 = 7,697.86/x
  3. Step 3: Cross multiply
    13,985.44x = 19,300.08 × 7,697.86
  4. Step 4: Simplify right side
    13,985.44x = 148,569,313.83
  5. Step 5: Solve for x
    x = 148,569,313.83/13,985.44
  6. Step 6: Final answer
    x = 10,623.14

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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.