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Finding the Fourth Proportional to 17,088.63, 23,582.22 and 9,534.51

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Solution

The fourth proportional to 17,088.63, 23,582.22 and 9,534.51 is: 13,157.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,088.63 : 23,582.22 = 9,534.51 : x
  2. Step 2: Convert to fraction form
    17,088.63/23,582.22 = 9,534.51/x
  3. Step 3: Cross multiply
    17,088.63x = 23,582.22 × 9,534.51
  4. Step 4: Simplify right side
    17,088.63x = 224,844,912.41
  5. Step 5: Solve for x
    x = 224,844,912.41/17,088.63
  6. Step 6: Final answer
    x = 13,157.57

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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.