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Finding the Fourth Proportional to 35,513.94, 53,257 and 13,315.22

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Solution

The fourth proportional to 35,513.94, 53,257 and 13,315.22 is: 19,967.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,513.94 : 53,257 = 13,315.22 : x
  2. Step 2: Convert to fraction form
    35,513.94/53,257 = 13,315.22/x
  3. Step 3: Cross multiply
    35,513.94x = 53,257 × 13,315.22
  4. Step 4: Simplify right side
    35,513.94x = 709,128,671.54
  5. Step 5: Solve for x
    x = 709,128,671.54/35,513.94
  6. Step 6: Final answer
    x = 19,967.61

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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.