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Finding the Fourth Proportional to 14,309.34, 21,464.01 and 6,526.86

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Solution

The fourth proportional to 14,309.34, 21,464.01 and 6,526.86 is: 9,790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.34 : 21,464.01 = 6,526.86 : x
  2. Step 2: Convert to fraction form
    14,309.34/21,464.01 = 6,526.86/x
  3. Step 3: Cross multiply
    14,309.34x = 21,464.01 × 6,526.86
  4. Step 4: Simplify right side
    14,309.34x = 140,092,588.31
  5. Step 5: Solve for x
    x = 140,092,588.31/14,309.34
  6. Step 6: Final answer
    x = 9,790.29

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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.