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Finding the Fourth Proportional to 19,536.14, 29,303.80 and 4,745.13

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Solution

The fourth proportional to 19,536.14, 29,303.80 and 4,745.13 is: 7,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,536.14 : 29,303.80 = 4,745.13 : x
  2. Step 2: Convert to fraction form
    19,536.14/29,303.80 = 4,745.13/x
  3. Step 3: Cross multiply
    19,536.14x = 29,303.80 × 4,745.13
  4. Step 4: Simplify right side
    19,536.14x = 139,050,340.49
  5. Step 5: Solve for x
    x = 139,050,340.49/19,536.14
  6. Step 6: Final answer
    x = 7,117.60

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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.