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Finding the Fourth Proportional to 23,582, 35,373.24 and 7,166

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Solution

The fourth proportional to 23,582, 35,373.24 and 7,166 is: 10,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,582 : 35,373.24 = 7,166 : x
  2. Step 2: Convert to fraction form
    23,582/35,373.24 = 7,166/x
  3. Step 3: Cross multiply
    23,582x = 35,373.24 × 7,166
  4. Step 4: Simplify right side
    23,582x = 253,484,637.84
  5. Step 5: Solve for x
    x = 253,484,637.84/23,582
  6. Step 6: Final answer
    x = 10,749.07

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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.