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Finding the Fourth Proportional to 23,705.58, 32,708.16 and 14,145.96

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Solution

The fourth proportional to 23,705.58, 32,708.16 and 14,145.96 is: 19,518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,705.58 : 32,708.16 = 14,145.96 : x
  2. Step 2: Convert to fraction form
    23,705.58/32,708.16 = 14,145.96/x
  3. Step 3: Cross multiply
    23,705.58x = 32,708.16 × 14,145.96
  4. Step 4: Simplify right side
    23,705.58x = 462,688,323.03
  5. Step 5: Solve for x
    x = 462,688,323.03/23,705.58
  6. Step 6: Final answer
    x = 19,518.12

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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.