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Finding the Fourth Proportional to 12,970.56, 19,448.88 and 4,084.23

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Solution

The fourth proportional to 12,970.56, 19,448.88 and 4,084.23 is: 6,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.56 : 19,448.88 = 4,084.23 : x
  2. Step 2: Convert to fraction form
    12,970.56/19,448.88 = 4,084.23/x
  3. Step 3: Cross multiply
    12,970.56x = 19,448.88 × 4,084.23
  4. Step 4: Simplify right side
    12,970.56x = 79,433,699.16
  5. Step 5: Solve for x
    x = 79,433,699.16/12,970.56
  6. Step 6: Final answer
    x = 6,124.15

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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.