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Finding the Fourth Proportional to 14,588.46, 21,878.24 and 9,590.63

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Solution

The fourth proportional to 14,588.46, 21,878.24 and 9,590.63 is: 14,383.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588.46 : 21,878.24 = 9,590.63 : x
  2. Step 2: Convert to fraction form
    14,588.46/21,878.24 = 9,590.63/x
  3. Step 3: Cross multiply
    14,588.46x = 21,878.24 × 9,590.63
  4. Step 4: Simplify right side
    14,588.46x = 209,825,947.55
  5. Step 5: Solve for x
    x = 209,825,947.55/14,588.46
  6. Step 6: Final answer
    x = 14,383.01

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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.