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Finding the Fourth Proportional to 14,024.00, 19,342.97 and 9,539.78

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Solution

The fourth proportional to 14,024.00, 19,342.97 and 9,539.78 is: 13,157.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,024.00 : 19,342.97 = 9,539.78 : x
  2. Step 2: Convert to fraction form
    14,024.00/19,342.97 = 9,539.78/x
  3. Step 3: Cross multiply
    14,024.00x = 19,342.97 × 9,539.78
  4. Step 4: Simplify right side
    14,024.00x = 184,527,569.71
  5. Step 5: Solve for x
    x = 184,527,569.71/14,024.00
  6. Step 6: Final answer
    x = 13,157.98

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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.