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Finding the Fourth Proportional to 23,428, 35,133.54 and 9,391.24

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Solution

The fourth proportional to 23,428, 35,133.54 and 9,391.24 is: 14,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,428 : 35,133.54 = 9,391.24 : x
  2. Step 2: Convert to fraction form
    23,428/35,133.54 = 9,391.24/x
  3. Step 3: Cross multiply
    23,428x = 35,133.54 × 9,391.24
  4. Step 4: Simplify right side
    23,428x = 329,947,506.19
  5. Step 5: Solve for x
    x = 329,947,506.19/23,428
  6. Step 6: Final answer
    x = 14,083.47

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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.