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Finding the Fourth Proportional to 14,053.74, 19,396.90 and 9,024.32

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Solution

The fourth proportional to 14,053.74, 19,396.90 and 9,024.32 is: 12,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,053.74 : 19,396.90 = 9,024.32 : x
  2. Step 2: Convert to fraction form
    14,053.74/19,396.90 = 9,024.32/x
  3. Step 3: Cross multiply
    14,053.74x = 19,396.90 × 9,024.32
  4. Step 4: Simplify right side
    14,053.74x = 175,043,832.61
  5. Step 5: Solve for x
    x = 175,043,832.61/14,053.74
  6. Step 6: Final answer
    x = 12,455.32

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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.