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Finding the Fourth Proportional to 19,709.51, 27,199.53 and 12,159.50

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Solution

The fourth proportional to 19,709.51, 27,199.53 and 12,159.50 is: 16,780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,709.51 : 27,199.53 = 12,159.50 : x
  2. Step 2: Convert to fraction form
    19,709.51/27,199.53 = 12,159.50/x
  3. Step 3: Cross multiply
    19,709.51x = 27,199.53 × 12,159.50
  4. Step 4: Simplify right side
    19,709.51x = 330,732,549.04
  5. Step 5: Solve for x
    x = 330,732,549.04/19,709.51
  6. Step 6: Final answer
    x = 16,780.36

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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.