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Finding the Fourth Proportional to 14,406.07, 19,880.37 and 7,782.07

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Solution

The fourth proportional to 14,406.07, 19,880.37 and 7,782.07 is: 10,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,406.07 : 19,880.37 = 7,782.07 : x
  2. Step 2: Convert to fraction form
    14,406.07/19,880.37 = 7,782.07/x
  3. Step 3: Cross multiply
    14,406.07x = 19,880.37 × 7,782.07
  4. Step 4: Simplify right side
    14,406.07x = 154,710,292.65
  5. Step 5: Solve for x
    x = 154,710,292.65/14,406.07
  6. Step 6: Final answer
    x = 10,739.25

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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.