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Finding the Fourth Proportional to 14,460.35, 19,958.63 and 9,415.80

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Solution

The fourth proportional to 14,460.35, 19,958.63 and 9,415.80 is: 12,995.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,460.35 : 19,958.63 = 9,415.80 : x
  2. Step 2: Convert to fraction form
    14,460.35/19,958.63 = 9,415.80/x
  3. Step 3: Cross multiply
    14,460.35x = 19,958.63 × 9,415.80
  4. Step 4: Simplify right side
    14,460.35x = 187,926,421.28
  5. Step 5: Solve for x
    x = 187,926,421.28/14,460.35
  6. Step 6: Final answer
    x = 12,995.98

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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.