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Finding the Fourth Proportional to 13,541.46, 18,681.48 and 9,009.51

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Solution

The fourth proportional to 13,541.46, 18,681.48 and 9,009.51 is: 12,429.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,541.46 : 18,681.48 = 9,009.51 : x
  2. Step 2: Convert to fraction form
    13,541.46/18,681.48 = 9,009.51/x
  3. Step 3: Cross multiply
    13,541.46x = 18,681.48 × 9,009.51
  4. Step 4: Simplify right side
    13,541.46x = 168,310,980.87
  5. Step 5: Solve for x
    x = 168,310,980.87/13,541.46
  6. Step 6: Final answer
    x = 12,429.31

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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.