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Finding the Fourth Proportional to 14,970.98, 22,458.52 and 5,107.61

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Solution

The fourth proportional to 14,970.98, 22,458.52 and 5,107.61 is: 7,662.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,970.98 : 22,458.52 = 5,107.61 : x
  2. Step 2: Convert to fraction form
    14,970.98/22,458.52 = 5,107.61/x
  3. Step 3: Cross multiply
    14,970.98x = 22,458.52 × 5,107.61
  4. Step 4: Simplify right side
    14,970.98x = 114,709,430.25
  5. Step 5: Solve for x
    x = 114,709,430.25/14,970.98
  6. Step 6: Final answer
    x = 7,662.12

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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.