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Finding the Fourth Proportional to 23,080.04, 31,852.68 and 14,696

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Solution

The fourth proportional to 23,080.04, 31,852.68 and 14,696 is: 20,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,080.04 : 31,852.68 = 14,696 : x
  2. Step 2: Convert to fraction form
    23,080.04/31,852.68 = 14,696/x
  3. Step 3: Cross multiply
    23,080.04x = 31,852.68 × 14,696
  4. Step 4: Simplify right side
    23,080.04x = 468,106,985.28
  5. Step 5: Solve for x
    x = 468,106,985.28/23,080.04
  6. Step 6: Final answer
    x = 20,281.90

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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.