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Finding the Fourth Proportional to 17,655.98, 24,362.57 and 10,580.63

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Solution

The fourth proportional to 17,655.98, 24,362.57 and 10,580.63 is: 14,599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.98 : 24,362.57 = 10,580.63 : x
  2. Step 2: Convert to fraction form
    17,655.98/24,362.57 = 10,580.63/x
  3. Step 3: Cross multiply
    17,655.98x = 24,362.57 × 10,580.63
  4. Step 4: Simplify right side
    17,655.98x = 257,771,243.66
  5. Step 5: Solve for x
    x = 257,771,243.66/17,655.98
  6. Step 6: Final answer
    x = 14,599.66

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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.