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Finding the Fourth Proportional to 14,095.36, 19,451.52 and 7,807.68

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Solution

The fourth proportional to 14,095.36, 19,451.52 and 7,807.68 is: 10,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095.36 : 19,451.52 = 7,807.68 : x
  2. Step 2: Convert to fraction form
    14,095.36/19,451.52 = 7,807.68/x
  3. Step 3: Cross multiply
    14,095.36x = 19,451.52 × 7,807.68
  4. Step 4: Simplify right side
    14,095.36x = 151,871,243.67
  5. Step 5: Solve for x
    x = 151,871,243.67/14,095.36
  6. Step 6: Final answer
    x = 10,774.56

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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.