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Finding the Fourth Proportional to 13,984.64, 19,298.88 and 7,697.12

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Solution

The fourth proportional to 13,984.64, 19,298.88 and 7,697.12 is: 10,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.64 : 19,298.88 = 7,697.12 : x
  2. Step 2: Convert to fraction form
    13,984.64/19,298.88 = 7,697.12/x
  3. Step 3: Cross multiply
    13,984.64x = 19,298.88 × 7,697.12
  4. Step 4: Simplify right side
    13,984.64x = 148,545,795.23
  5. Step 5: Solve for x
    x = 148,545,795.23/13,984.64
  6. Step 6: Final answer
    x = 10,622.07

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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.