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Finding the Fourth Proportional to 23,649.31, 32,637.60 and 13,038.94

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Solution

The fourth proportional to 23,649.31, 32,637.60 and 13,038.94 is: 17,994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,649.31 : 32,637.60 = 13,038.94 : x
  2. Step 2: Convert to fraction form
    23,649.31/32,637.60 = 13,038.94/x
  3. Step 3: Cross multiply
    23,649.31x = 32,637.60 × 13,038.94
  4. Step 4: Simplify right side
    23,649.31x = 425,559,708.14
  5. Step 5: Solve for x
    x = 425,559,708.14/23,649.31
  6. Step 6: Final answer
    x = 17,994.59

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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.