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Finding the Fourth Proportional to 23,705.70, 32,712.52 and 14,156.36

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Solution

The fourth proportional to 23,705.70, 32,712.52 and 14,156.36 is: 19,534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,705.70 : 32,712.52 = 14,156.36 : x
  2. Step 2: Convert to fraction form
    23,705.70/32,712.52 = 14,156.36/x
  3. Step 3: Cross multiply
    23,705.70x = 32,712.52 × 14,156.36
  4. Step 4: Simplify right side
    23,705.70x = 463,090,209.63
  5. Step 5: Solve for x
    x = 463,090,209.63/23,705.70
  6. Step 6: Final answer
    x = 19,534.97

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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.