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Finding the Fourth Proportional to 19,607.32, 29,395.95 and 9,739

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Solution

The fourth proportional to 19,607.32, 29,395.95 and 9,739 is: 14,601.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,607.32 : 29,395.95 = 9,739 : x
  2. Step 2: Convert to fraction form
    19,607.32/29,395.95 = 9,739/x
  3. Step 3: Cross multiply
    19,607.32x = 29,395.95 × 9,739
  4. Step 4: Simplify right side
    19,607.32x = 286,287,157.05
  5. Step 5: Solve for x
    x = 286,287,157.05/19,607.32
  6. Step 6: Final answer
    x = 14,601.03

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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.