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Finding the Fourth Proportional to 12,838.25, 19,259.00 and 4,406.40

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Solution

The fourth proportional to 12,838.25, 19,259.00 and 4,406.40 is: 6,610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.25 : 19,259.00 = 4,406.40 : x
  2. Step 2: Convert to fraction form
    12,838.25/19,259.00 = 4,406.40/x
  3. Step 3: Cross multiply
    12,838.25x = 19,259.00 × 4,406.40
  4. Step 4: Simplify right side
    12,838.25x = 84,862,852.09
  5. Step 5: Solve for x
    x = 84,862,852.09/12,838.25
  6. Step 6: Final answer
    x = 6,610.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.