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Finding the Fourth Proportional to 14,201.16, 19,597.73 and 7,827.99

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Solution

The fourth proportional to 14,201.16, 19,597.73 and 7,827.99 is: 10,802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.16 : 19,597.73 = 7,827.99 : x
  2. Step 2: Convert to fraction form
    14,201.16/19,597.73 = 7,827.99/x
  3. Step 3: Cross multiply
    14,201.16x = 19,597.73 × 7,827.99
  4. Step 4: Simplify right side
    14,201.16x = 153,410,834.46
  5. Step 5: Solve for x
    x = 153,410,834.46/14,201.16
  6. Step 6: Final answer
    x = 10,802.70

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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.