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Finding the Fourth Proportional to 14,460.86, 19,955 and 8,172.82

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Solution

The fourth proportional to 14,460.86, 19,955 and 8,172.82 is: 11,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,460.86 : 19,955 = 8,172.82 : x
  2. Step 2: Convert to fraction form
    14,460.86/19,955 = 8,172.82/x
  3. Step 3: Cross multiply
    14,460.86x = 19,955 × 8,172.82
  4. Step 4: Simplify right side
    14,460.86x = 163,088,623.10
  5. Step 5: Solve for x
    x = 163,088,623.10/14,460.86
  6. Step 6: Final answer
    x = 11,277.93

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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.