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Finding the Fourth Proportional to 17,535, 26,315.46 and 8,301

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Solution

The fourth proportional to 17,535, 26,315.46 and 8,301 is: 12,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,535 : 26,315.46 = 8,301 : x
  2. Step 2: Convert to fraction form
    17,535/26,315.46 = 8,301/x
  3. Step 3: Cross multiply
    17,535x = 26,315.46 × 8,301
  4. Step 4: Simplify right side
    17,535x = 218,444,633.46
  5. Step 5: Solve for x
    x = 218,444,633.46/17,535
  6. Step 6: Final answer
    x = 12,457.64

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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.