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Finding the Fourth Proportional to 13,637.16, 18,814.68 and 7,970.13

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Solution

The fourth proportional to 13,637.16, 18,814.68 and 7,970.13 is: 10,996.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,637.16 : 18,814.68 = 7,970.13 : x
  2. Step 2: Convert to fraction form
    13,637.16/18,814.68 = 7,970.13/x
  3. Step 3: Cross multiply
    13,637.16x = 18,814.68 × 7,970.13
  4. Step 4: Simplify right side
    13,637.16x = 149,955,445.51
  5. Step 5: Solve for x
    x = 149,955,445.51/13,637.16
  6. Step 6: Final answer
    x = 10,996.09

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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.