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Finding the Fourth Proportional to 12,707.58, 17,519.58 and 10,430.58

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Solution

The fourth proportional to 12,707.58, 17,519.58 and 10,430.58 is: 14,380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,707.58 : 17,519.58 = 10,430.58 : x
  2. Step 2: Convert to fraction form
    12,707.58/17,519.58 = 10,430.58/x
  3. Step 3: Cross multiply
    12,707.58x = 17,519.58 × 10,430.58
  4. Step 4: Simplify right side
    12,707.58x = 182,739,380.76
  5. Step 5: Solve for x
    x = 182,739,380.76/12,707.58
  6. Step 6: Final answer
    x = 14,380.34

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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.