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Finding the Fourth Proportional to 35,667.84, 53,485.23 and 13,172.82

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Solution

The fourth proportional to 35,667.84, 53,485.23 and 13,172.82 is: 19,753.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,667.84 : 53,485.23 = 13,172.82 : x
  2. Step 2: Convert to fraction form
    35,667.84/53,485.23 = 13,172.82/x
  3. Step 3: Cross multiply
    35,667.84x = 53,485.23 × 13,172.82
  4. Step 4: Simplify right side
    35,667.84x = 704,551,307.45
  5. Step 5: Solve for x
    x = 704,551,307.45/35,667.84
  6. Step 6: Final answer
    x = 19,753.13

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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.