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Finding the Fourth Proportional to 14,897.10, 20,559.10 and 9,232.96

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Solution

The fourth proportional to 14,897.10, 20,559.10 and 9,232.96 is: 12,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,897.10 : 20,559.10 = 9,232.96 : x
  2. Step 2: Convert to fraction form
    14,897.10/20,559.10 = 9,232.96/x
  3. Step 3: Cross multiply
    14,897.10x = 20,559.10 × 9,232.96
  4. Step 4: Simplify right side
    14,897.10x = 189,821,347.94
  5. Step 5: Solve for x
    x = 189,821,347.94/14,897.10
  6. Step 6: Final answer
    x = 12,742.17

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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.