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Finding the Fourth Proportional to 13,430.51, 18,534.12 and 7,462.24

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Solution

The fourth proportional to 13,430.51, 18,534.12 and 7,462.24 is: 10,297.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.51 : 18,534.12 = 7,462.24 : x
  2. Step 2: Convert to fraction form
    13,430.51/18,534.12 = 7,462.24/x
  3. Step 3: Cross multiply
    13,430.51x = 18,534.12 × 7,462.24
  4. Step 4: Simplify right side
    13,430.51x = 138,306,051.63
  5. Step 5: Solve for x
    x = 138,306,051.63/13,430.51
  6. Step 6: Final answer
    x = 10,297.90

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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.