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Finding the Fourth Proportional to 14,852.21, 22,285.62 and 6,089.63

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Solution

The fourth proportional to 14,852.21, 22,285.62 and 6,089.63 is: 9,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,852.21 : 22,285.62 = 6,089.63 : x
  2. Step 2: Convert to fraction form
    14,852.21/22,285.62 = 6,089.63/x
  3. Step 3: Cross multiply
    14,852.21x = 22,285.62 × 6,089.63
  4. Step 4: Simplify right side
    14,852.21x = 135,711,068.69
  5. Step 5: Solve for x
    x = 135,711,068.69/14,852.21
  6. Step 6: Final answer
    x = 9,137.44

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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.