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Finding the Fourth Proportional to 13,506.51, 18,636.75 and 7,537.98

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Solution

The fourth proportional to 13,506.51, 18,636.75 and 7,537.98 is: 10,401.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.51 : 18,636.75 = 7,537.98 : x
  2. Step 2: Convert to fraction form
    13,506.51/18,636.75 = 7,537.98/x
  3. Step 3: Cross multiply
    13,506.51x = 18,636.75 × 7,537.98
  4. Step 4: Simplify right side
    13,506.51x = 140,483,448.77
  5. Step 5: Solve for x
    x = 140,483,448.77/13,506.51
  6. Step 6: Final answer
    x = 10,401.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.