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Finding the Fourth Proportional to 14,509.06, 19,994.43 and 9,785.14

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Solution

The fourth proportional to 14,509.06, 19,994.43 and 9,785.14 is: 13,484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.06 : 19,994.43 = 9,785.14 : x
  2. Step 2: Convert to fraction form
    14,509.06/19,994.43 = 9,785.14/x
  3. Step 3: Cross multiply
    14,509.06x = 19,994.43 × 9,785.14
  4. Step 4: Simplify right side
    14,509.06x = 195,648,296.77
  5. Step 5: Solve for x
    x = 195,648,296.77/14,509.06
  6. Step 6: Final answer
    x = 13,484.56

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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.