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Finding the Fourth Proportional to 14,034, 19,364.72 and 8,064.51

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Solution

The fourth proportional to 14,034, 19,364.72 and 8,064.51 is: 11,127.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,034 : 19,364.72 = 8,064.51 : x
  2. Step 2: Convert to fraction form
    14,034/19,364.72 = 8,064.51/x
  3. Step 3: Cross multiply
    14,034x = 19,364.72 × 8,064.51
  4. Step 4: Simplify right side
    14,034x = 156,166,978.09
  5. Step 5: Solve for x
    x = 156,166,978.09/14,034
  6. Step 6: Final answer
    x = 11,127.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.