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Finding the Fourth Proportional to 23,506.36, 35,259.68 and 9,472.84

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Solution

The fourth proportional to 23,506.36, 35,259.68 and 9,472.84 is: 14,209.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,506.36 : 35,259.68 = 9,472.84 : x
  2. Step 2: Convert to fraction form
    23,506.36/35,259.68 = 9,472.84/x
  3. Step 3: Cross multiply
    23,506.36x = 35,259.68 × 9,472.84
  4. Step 4: Simplify right side
    23,506.36x = 334,009,307.09
  5. Step 5: Solve for x
    x = 334,009,307.09/23,506.36
  6. Step 6: Final answer
    x = 14,209.32

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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.