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Finding the Fourth Proportional to 19,352.47, 29,032.81 and 6,214.07

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Solution

The fourth proportional to 19,352.47, 29,032.81 and 6,214.07 is: 9,322.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,352.47 : 29,032.81 = 6,214.07 : x
  2. Step 2: Convert to fraction form
    19,352.47/29,032.81 = 6,214.07/x
  3. Step 3: Cross multiply
    19,352.47x = 29,032.81 × 6,214.07
  4. Step 4: Simplify right side
    19,352.47x = 180,411,913.64
  5. Step 5: Solve for x
    x = 180,411,913.64/19,352.47
  6. Step 6: Final answer
    x = 9,322.42

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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.