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Finding the Fourth Proportional to 19,530.96, 29,296.16 and 4,740

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Solution

The fourth proportional to 19,530.96, 29,296.16 and 4,740 is: 7,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,530.96 : 29,296.16 = 4,740 : x
  2. Step 2: Convert to fraction form
    19,530.96/29,296.16 = 4,740/x
  3. Step 3: Cross multiply
    19,530.96x = 29,296.16 × 4,740
  4. Step 4: Simplify right side
    19,530.96x = 138,863,798.40
  5. Step 5: Solve for x
    x = 138,863,798.40/19,530.96
  6. Step 6: Final answer
    x = 7,109.93

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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.