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Finding the Fourth Proportional to 14,647.42, 21,941.97 and 9,437.50

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Solution

The fourth proportional to 14,647.42, 21,941.97 and 9,437.50 is: 14,137.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647.42 : 21,941.97 = 9,437.50 : x
  2. Step 2: Convert to fraction form
    14,647.42/21,941.97 = 9,437.50/x
  3. Step 3: Cross multiply
    14,647.42x = 21,941.97 × 9,437.50
  4. Step 4: Simplify right side
    14,647.42x = 207,077,341.88
  5. Step 5: Solve for x
    x = 207,077,341.88/14,647.42
  6. Step 6: Final answer
    x = 14,137.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.