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Finding the Fourth Proportional to 23,901.99, 32,985.81 and 13,830.90

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Solution

The fourth proportional to 23,901.99, 32,985.81 and 13,830.90 is: 19,087.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,901.99 : 32,985.81 = 13,830.90 : x
  2. Step 2: Convert to fraction form
    23,901.99/32,985.81 = 13,830.90/x
  3. Step 3: Cross multiply
    23,901.99x = 32,985.81 × 13,830.90
  4. Step 4: Simplify right side
    23,901.99x = 456,223,439.53
  5. Step 5: Solve for x
    x = 456,223,439.53/23,901.99
  6. Step 6: Final answer
    x = 19,087.26

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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.