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Finding the Fourth Proportional to 13,771.65, 19,004.27 and 7,803.93

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Solution

The fourth proportional to 13,771.65, 19,004.27 and 7,803.93 is: 10,769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,771.65 : 19,004.27 = 7,803.93 : x
  2. Step 2: Convert to fraction form
    13,771.65/19,004.27 = 7,803.93/x
  3. Step 3: Cross multiply
    13,771.65x = 19,004.27 × 7,803.93
  4. Step 4: Simplify right side
    13,771.65x = 148,307,953.76
  5. Step 5: Solve for x
    x = 148,307,953.76/13,771.65
  6. Step 6: Final answer
    x = 10,769.08

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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.