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Finding the Fourth Proportional to 14,065.36, 19,410 and 7,777.60

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Solution

The fourth proportional to 14,065.36, 19,410 and 7,777.60 is: 10,732.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.36 : 19,410 = 7,777.60 : x
  2. Step 2: Convert to fraction form
    14,065.36/19,410 = 7,777.60/x
  3. Step 3: Cross multiply
    14,065.36x = 19,410 × 7,777.60
  4. Step 4: Simplify right side
    14,065.36x = 150,963,216
  5. Step 5: Solve for x
    x = 150,963,216/14,065.36
  6. Step 6: Final answer
    x = 10,732.98

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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.