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Finding the Fourth Proportional to 14,254.12, 19,665.86 and 9,224.69

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Solution

The fourth proportional to 14,254.12, 19,665.86 and 9,224.69 is: 12,726.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,254.12 : 19,665.86 = 9,224.69 : x
  2. Step 2: Convert to fraction form
    14,254.12/19,665.86 = 9,224.69/x
  3. Step 3: Cross multiply
    14,254.12x = 19,665.86 × 9,224.69
  4. Step 4: Simplify right side
    14,254.12x = 181,411,415.96
  5. Step 5: Solve for x
    x = 181,411,415.96/14,254.12
  6. Step 6: Final answer
    x = 12,726.95

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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.