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Finding the Fourth Proportional to 21,477.76, 29,661.84 and 14,780.68

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Solution

The fourth proportional to 21,477.76, 29,661.84 and 14,780.68 is: 20,412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,477.76 : 29,661.84 = 14,780.68 : x
  2. Step 2: Convert to fraction form
    21,477.76/29,661.84 = 14,780.68/x
  3. Step 3: Cross multiply
    21,477.76x = 29,661.84 × 14,780.68
  4. Step 4: Simplify right side
    21,477.76x = 438,422,165.25
  5. Step 5: Solve for x
    x = 438,422,165.25/21,477.76
  6. Step 6: Final answer
    x = 20,412.84

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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.