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Finding the Fourth Proportional to 14,129.02, 19,498.35 and 7,842.34

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Solution

The fourth proportional to 14,129.02, 19,498.35 and 7,842.34 is: 10,822.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.02 : 19,498.35 = 7,842.34 : x
  2. Step 2: Convert to fraction form
    14,129.02/19,498.35 = 7,842.34/x
  3. Step 3: Cross multiply
    14,129.02x = 19,498.35 × 7,842.34
  4. Step 4: Simplify right side
    14,129.02x = 152,912,690.14
  5. Step 5: Solve for x
    x = 152,912,690.14/14,129.02
  6. Step 6: Final answer
    x = 10,822.60

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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.