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Finding the Fourth Proportional to 14,102.31, 19,461.17 and 8,437.29

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Solution

The fourth proportional to 14,102.31, 19,461.17 and 8,437.29 is: 11,643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.31 : 19,461.17 = 8,437.29 : x
  2. Step 2: Convert to fraction form
    14,102.31/19,461.17 = 8,437.29/x
  3. Step 3: Cross multiply
    14,102.31x = 19,461.17 × 8,437.29
  4. Step 4: Simplify right side
    14,102.31x = 164,199,483.14
  5. Step 5: Solve for x
    x = 164,199,483.14/14,102.31
  6. Step 6: Final answer
    x = 11,643.45

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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.