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Finding the Fourth Proportional to 32,000.09, 44,160.14 and 17,852.63

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Solution

The fourth proportional to 32,000.09, 44,160.14 and 17,852.63 is: 24,636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,000.09 : 44,160.14 = 17,852.63 : x
  2. Step 2: Convert to fraction form
    32,000.09/44,160.14 = 17,852.63/x
  3. Step 3: Cross multiply
    32,000.09x = 44,160.14 × 17,852.63
  4. Step 4: Simplify right side
    32,000.09x = 788,374,640.17
  5. Step 5: Solve for x
    x = 788,374,640.17/32,000.09
  6. Step 6: Final answer
    x = 24,636.64

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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.