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Finding the Fourth Proportional to 14,340.84, 19,790.73 and 9,307.14

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Solution

The fourth proportional to 14,340.84, 19,790.73 and 9,307.14 is: 12,844.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,340.84 : 19,790.73 = 9,307.14 : x
  2. Step 2: Convert to fraction form
    14,340.84/19,790.73 = 9,307.14/x
  3. Step 3: Cross multiply
    14,340.84x = 19,790.73 × 9,307.14
  4. Step 4: Simplify right side
    14,340.84x = 184,195,094.81
  5. Step 5: Solve for x
    x = 184,195,094.81/14,340.84
  6. Step 6: Final answer
    x = 12,844.09

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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.