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Finding the Fourth Proportional to 14,570.37, 21,834.85 and 6,653.43

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Solution

The fourth proportional to 14,570.37, 21,834.85 and 6,653.43 is: 9,970.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,570.37 : 21,834.85 = 6,653.43 : x
  2. Step 2: Convert to fraction form
    14,570.37/21,834.85 = 6,653.43/x
  3. Step 3: Cross multiply
    14,570.37x = 21,834.85 × 6,653.43
  4. Step 4: Simplify right side
    14,570.37x = 145,276,646.04
  5. Step 5: Solve for x
    x = 145,276,646.04/14,570.37
  6. Step 6: Final answer
    x = 9,970.69

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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.