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Finding the Fourth Proportional to 14,159.02, 19,538.94 and 7,871.26

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Solution

The fourth proportional to 14,159.02, 19,538.94 and 7,871.26 is: 10,862.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,159.02 : 19,538.94 = 7,871.26 : x
  2. Step 2: Convert to fraction form
    14,159.02/19,538.94 = 7,871.26/x
  3. Step 3: Cross multiply
    14,159.02x = 19,538.94 × 7,871.26
  4. Step 4: Simplify right side
    14,159.02x = 153,796,076.86
  5. Step 5: Solve for x
    x = 153,796,076.86/14,159.02
  6. Step 6: Final answer
    x = 10,862.06

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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.