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Finding the Fourth Proportional to 13,897.09, 19,165.02 and 12,865.01

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Solution

The fourth proportional to 13,897.09, 19,165.02 and 12,865.01 is: 17,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.09 : 19,165.02 = 12,865.01 : x
  2. Step 2: Convert to fraction form
    13,897.09/19,165.02 = 12,865.01/x
  3. Step 3: Cross multiply
    13,897.09x = 19,165.02 × 12,865.01
  4. Step 4: Simplify right side
    13,897.09x = 246,558,254.03
  5. Step 5: Solve for x
    x = 246,558,254.03/13,897.09
  6. Step 6: Final answer
    x = 17,741.72

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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.