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Finding the Fourth Proportional to 19,745.84, 29,607.32 and 9,357.52

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Solution

The fourth proportional to 19,745.84, 29,607.32 and 9,357.52 is: 14,030.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,745.84 : 29,607.32 = 9,357.52 : x
  2. Step 2: Convert to fraction form
    19,745.84/29,607.32 = 9,357.52/x
  3. Step 3: Cross multiply
    19,745.84x = 29,607.32 × 9,357.52
  4. Step 4: Simplify right side
    19,745.84x = 277,051,089.05
  5. Step 5: Solve for x
    x = 277,051,089.05/19,745.84
  6. Step 6: Final answer
    x = 14,030.86

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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.