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Finding the Fourth Proportional to 14,543.16, 20,063.34 and 9,505.50

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Solution

The fourth proportional to 14,543.16, 20,063.34 and 9,505.50 is: 13,113.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,543.16 : 20,063.34 = 9,505.50 : x
  2. Step 2: Convert to fraction form
    14,543.16/20,063.34 = 9,505.50/x
  3. Step 3: Cross multiply
    14,543.16x = 20,063.34 × 9,505.50
  4. Step 4: Simplify right side
    14,543.16x = 190,712,078.37
  5. Step 5: Solve for x
    x = 190,712,078.37/14,543.16
  6. Step 6: Final answer
    x = 13,113.52

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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.