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Finding the Fourth Proportional to 15,534.23, 21,437.21 and 8,460.64

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Solution

The fourth proportional to 15,534.23, 21,437.21 and 8,460.64 is: 11,675.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,534.23 : 21,437.21 = 8,460.64 : x
  2. Step 2: Convert to fraction form
    15,534.23/21,437.21 = 8,460.64/x
  3. Step 3: Cross multiply
    15,534.23x = 21,437.21 × 8,460.64
  4. Step 4: Simplify right side
    15,534.23x = 181,372,366.93
  5. Step 5: Solve for x
    x = 181,372,366.93/15,534.23
  6. Step 6: Final answer
    x = 11,675.66

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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.