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Finding the Fourth Proportional to 23,573.29, 32,532.02 and 14,140.03

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Solution

The fourth proportional to 23,573.29, 32,532.02 and 14,140.03 is: 19,513.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,573.29 : 32,532.02 = 14,140.03 : x
  2. Step 2: Convert to fraction form
    23,573.29/32,532.02 = 14,140.03/x
  3. Step 3: Cross multiply
    23,573.29x = 32,532.02 × 14,140.03
  4. Step 4: Simplify right side
    23,573.29x = 460,003,738.76
  5. Step 5: Solve for x
    x = 460,003,738.76/23,573.29
  6. Step 6: Final answer
    x = 19,513.77

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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.