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Finding the Fourth Proportional to 14,127.51, 19,494.63 and 8,462.16

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Solution

The fourth proportional to 14,127.51, 19,494.63 and 8,462.16 is: 11,676.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,127.51 : 19,494.63 = 8,462.16 : x
  2. Step 2: Convert to fraction form
    14,127.51/19,494.63 = 8,462.16/x
  3. Step 3: Cross multiply
    14,127.51x = 19,494.63 × 8,462.16
  4. Step 4: Simplify right side
    14,127.51x = 164,966,678.20
  5. Step 5: Solve for x
    x = 164,966,678.20/14,127.51
  6. Step 6: Final answer
    x = 11,676.98

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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.