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Finding the Fourth Proportional to 13,777.48, 19,009.98 and 7,807.24

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Solution

The fourth proportional to 13,777.48, 19,009.98 and 7,807.24 is: 10,772.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.48 : 19,009.98 = 7,807.24 : x
  2. Step 2: Convert to fraction form
    13,777.48/19,009.98 = 7,807.24/x
  3. Step 3: Cross multiply
    13,777.48x = 19,009.98 × 7,807.24
  4. Step 4: Simplify right side
    13,777.48x = 148,415,476.26
  5. Step 5: Solve for x
    x = 148,415,476.26/13,777.48
  6. Step 6: Final answer
    x = 10,772.32

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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.