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Finding the Fourth Proportional to 14,537.24, 21,803.76 and 4,675.24

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Solution

The fourth proportional to 14,537.24, 21,803.76 and 4,675.24 is: 7,012.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,537.24 : 21,803.76 = 4,675.24 : x
  2. Step 2: Convert to fraction form
    14,537.24/21,803.76 = 4,675.24/x
  3. Step 3: Cross multiply
    14,537.24x = 21,803.76 × 4,675.24
  4. Step 4: Simplify right side
    14,537.24x = 101,937,810.90
  5. Step 5: Solve for x
    x = 101,937,810.90/14,537.24
  6. Step 6: Final answer
    x = 7,012.18

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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.