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Finding the Fourth Proportional to 13,897.53, 19,165.63 and 12,865.45

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Solution

The fourth proportional to 13,897.53, 19,165.63 and 12,865.45 is: 17,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.53 : 19,165.63 = 12,865.45 : x
  2. Step 2: Convert to fraction form
    13,897.53/19,165.63 = 12,865.45/x
  3. Step 3: Cross multiply
    13,897.53x = 19,165.63 × 12,865.45
  4. Step 4: Simplify right side
    13,897.53x = 246,574,454.48
  5. Step 5: Solve for x
    x = 246,574,454.48/13,897.53
  6. Step 6: Final answer
    x = 17,742.32

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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.