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Finding the Fourth Proportional to 14,454.16, 21,670.72 and 9,762.53

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Solution

The fourth proportional to 14,454.16, 21,670.72 and 9,762.53 is: 14,636.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,454.16 : 21,670.72 = 9,762.53 : x
  2. Step 2: Convert to fraction form
    14,454.16/21,670.72 = 9,762.53/x
  3. Step 3: Cross multiply
    14,454.16x = 21,670.72 × 9,762.53
  4. Step 4: Simplify right side
    14,454.16x = 211,561,083.89
  5. Step 5: Solve for x
    x = 211,561,083.89/14,454.16
  6. Step 6: Final answer
    x = 14,636.69

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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.