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Finding the Fourth Proportional to 14,259.84, 19,683.99 and 12,765

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Solution

The fourth proportional to 14,259.84, 19,683.99 and 12,765 is: 17,620.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,259.84 : 19,683.99 = 12,765 : x
  2. Step 2: Convert to fraction form
    14,259.84/19,683.99 = 12,765/x
  3. Step 3: Cross multiply
    14,259.84x = 19,683.99 × 12,765
  4. Step 4: Simplify right side
    14,259.84x = 251,266,132.35
  5. Step 5: Solve for x
    x = 251,266,132.35/14,259.84
  6. Step 6: Final answer
    x = 17,620.54

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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.