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Finding the Fourth Proportional to 14,203.94, 19,601.58 and 7,830.79

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Solution

The fourth proportional to 14,203.94, 19,601.58 and 7,830.79 is: 10,806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,203.94 : 19,601.58 = 7,830.79 : x
  2. Step 2: Convert to fraction form
    14,203.94/19,601.58 = 7,830.79/x
  3. Step 3: Cross multiply
    14,203.94x = 19,601.58 × 7,830.79
  4. Step 4: Simplify right side
    14,203.94x = 153,495,788.07
  5. Step 5: Solve for x
    x = 153,495,788.07/14,203.94
  6. Step 6: Final answer
    x = 10,806.56

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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.