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Finding the Fourth Proportional to 13,416.51, 18,513.90 and 7,448.19

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Solution

The fourth proportional to 13,416.51, 18,513.90 and 7,448.19 is: 10,278.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.51 : 18,513.90 = 7,448.19 : x
  2. Step 2: Convert to fraction form
    13,416.51/18,513.90 = 7,448.19/x
  3. Step 3: Cross multiply
    13,416.51x = 18,513.90 × 7,448.19
  4. Step 4: Simplify right side
    13,416.51x = 137,895,044.84
  5. Step 5: Solve for x
    x = 137,895,044.84/13,416.51
  6. Step 6: Final answer
    x = 10,278.01

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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.