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Finding the Fourth Proportional to 14,214.12, 19,615.94 and 7,840.98

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Solution

The fourth proportional to 14,214.12, 19,615.94 and 7,840.98 is: 10,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.12 : 19,615.94 = 7,840.98 : x
  2. Step 2: Convert to fraction form
    14,214.12/19,615.94 = 7,840.98/x
  3. Step 3: Cross multiply
    14,214.12x = 19,615.94 × 7,840.98
  4. Step 4: Simplify right side
    14,214.12x = 153,808,193.22
  5. Step 5: Solve for x
    x = 153,808,193.22/14,214.12
  6. Step 6: Final answer
    x = 10,820.80

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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.