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Finding the Fourth Proportional to 35,513.89, 53,257 and 13,315.16

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Solution

The fourth proportional to 35,513.89, 53,257 and 13,315.16 is: 19,967.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,513.89 : 53,257 = 13,315.16 : x
  2. Step 2: Convert to fraction form
    35,513.89/53,257 = 13,315.16/x
  3. Step 3: Cross multiply
    35,513.89x = 53,257 × 13,315.16
  4. Step 4: Simplify right side
    35,513.89x = 709,125,476.12
  5. Step 5: Solve for x
    x = 709,125,476.12/35,513.89
  6. Step 6: Final answer
    x = 19,967.55

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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.