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Finding the Fourth Proportional to 12,816.84, 19,228.80 and 5,417.40

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Solution

The fourth proportional to 12,816.84, 19,228.80 and 5,417.40 is: 8,127.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816.84 : 19,228.80 = 5,417.40 : x
  2. Step 2: Convert to fraction form
    12,816.84/19,228.80 = 5,417.40/x
  3. Step 3: Cross multiply
    12,816.84x = 19,228.80 × 5,417.40
  4. Step 4: Simplify right side
    12,816.84x = 104,170,101.12
  5. Step 5: Solve for x
    x = 104,170,101.12/12,816.84
  6. Step 6: Final answer
    x = 8,127.60

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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.