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Finding the Fourth Proportional to 12,703.24, 19,051.78 and 5,303.68

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Solution

The fourth proportional to 12,703.24, 19,051.78 and 5,303.68 is: 7,954.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.24 : 19,051.78 = 5,303.68 : x
  2. Step 2: Convert to fraction form
    12,703.24/19,051.78 = 5,303.68/x
  3. Step 3: Cross multiply
    12,703.24x = 19,051.78 × 5,303.68
  4. Step 4: Simplify right side
    12,703.24x = 101,044,544.55
  5. Step 5: Solve for x
    x = 101,044,544.55/12,703.24
  6. Step 6: Final answer
    x = 7,954.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.