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Finding the Fourth Proportional to 14,580.41, 21,865.14 and 6,783.75

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Solution

The fourth proportional to 14,580.41, 21,865.14 and 6,783.75 is: 10,173.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,580.41 : 21,865.14 = 6,783.75 : x
  2. Step 2: Convert to fraction form
    14,580.41/21,865.14 = 6,783.75/x
  3. Step 3: Cross multiply
    14,580.41x = 21,865.14 × 6,783.75
  4. Step 4: Simplify right side
    14,580.41x = 148,327,643.48
  5. Step 5: Solve for x
    x = 148,327,643.48/14,580.41
  6. Step 6: Final answer
    x = 10,173.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.