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Finding the Fourth Proportional to 14,064, 21,088.62 and 5,739.36

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Solution

The fourth proportional to 14,064, 21,088.62 and 5,739.36 is: 8,606.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,064 : 21,088.62 = 5,739.36 : x
  2. Step 2: Convert to fraction form
    14,064/21,088.62 = 5,739.36/x
  3. Step 3: Cross multiply
    14,064x = 21,088.62 × 5,739.36
  4. Step 4: Simplify right side
    14,064x = 121,035,182.08
  5. Step 5: Solve for x
    x = 121,035,182.08/14,064
  6. Step 6: Final answer
    x = 8,606.03

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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.