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Finding the Fourth Proportional to 13,804.61, 19,051.95 and 7,835.72

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Solution

The fourth proportional to 13,804.61, 19,051.95 and 7,835.72 is: 10,814.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.61 : 19,051.95 = 7,835.72 : x
  2. Step 2: Convert to fraction form
    13,804.61/19,051.95 = 7,835.72/x
  3. Step 3: Cross multiply
    13,804.61x = 19,051.95 × 7,835.72
  4. Step 4: Simplify right side
    13,804.61x = 149,285,650.39
  5. Step 5: Solve for x
    x = 149,285,650.39/13,804.61
  6. Step 6: Final answer
    x = 10,814.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.