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Finding the Fourth Proportional to 12,970.98, 19,458.27 and 4,203.06

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Solution

The fourth proportional to 12,970.98, 19,458.27 and 4,203.06 is: 6,305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,970.98 : 19,458.27 = 4,203.06 : x
  2. Step 2: Convert to fraction form
    12,970.98/19,458.27 = 4,203.06/x
  3. Step 3: Cross multiply
    12,970.98x = 19,458.27 × 4,203.06
  4. Step 4: Simplify right side
    12,970.98x = 81,784,276.31
  5. Step 5: Solve for x
    x = 81,784,276.31/12,970.98
  6. Step 6: Final answer
    x = 6,305.17

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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.