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Finding the Fourth Proportional to 14,032.84, 19,364.82 and 7,745.20

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Solution

The fourth proportional to 14,032.84, 19,364.82 and 7,745.20 is: 10,688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,032.84 : 19,364.82 = 7,745.20 : x
  2. Step 2: Convert to fraction form
    14,032.84/19,364.82 = 7,745.20/x
  3. Step 3: Cross multiply
    14,032.84x = 19,364.82 × 7,745.20
  4. Step 4: Simplify right side
    14,032.84x = 149,984,403.86
  5. Step 5: Solve for x
    x = 149,984,403.86/14,032.84
  6. Step 6: Final answer
    x = 10,688.10

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