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Finding the Fourth Proportional to 13,686.09, 20,477.87 and 9,746.45

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Solution

The fourth proportional to 13,686.09, 20,477.87 and 9,746.45 is: 14,583.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.09 : 20,477.87 = 9,746.45 : x
  2. Step 2: Convert to fraction form
    13,686.09/20,477.87 = 9,746.45/x
  3. Step 3: Cross multiply
    13,686.09x = 20,477.87 × 9,746.45
  4. Step 4: Simplify right side
    13,686.09x = 199,586,536.06
  5. Step 5: Solve for x
    x = 199,586,536.06/13,686.09
  6. Step 6: Final answer
    x = 14,583.17

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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.