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Finding the Fourth Proportional to 13,374.51, 18,456.93 and 7,406.22

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Solution

The fourth proportional to 13,374.51, 18,456.93 and 7,406.22 is: 10,220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,374.51 : 18,456.93 = 7,406.22 : x
  2. Step 2: Convert to fraction form
    13,374.51/18,456.93 = 7,406.22/x
  3. Step 3: Cross multiply
    13,374.51x = 18,456.93 × 7,406.22
  4. Step 4: Simplify right side
    13,374.51x = 136,696,084.10
  5. Step 5: Solve for x
    x = 136,696,084.10/13,374.51
  6. Step 6: Final answer
    x = 10,220.64

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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.