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Finding the Fourth Proportional to 14,075.70, 21,111.12 and 8,564.46

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Solution

The fourth proportional to 14,075.70, 21,111.12 and 8,564.46 is: 12,845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,075.70 : 21,111.12 = 8,564.46 : x
  2. Step 2: Convert to fraction form
    14,075.70/21,111.12 = 8,564.46/x
  3. Step 3: Cross multiply
    14,075.70x = 21,111.12 × 8,564.46
  4. Step 4: Simplify right side
    14,075.70x = 180,805,342.80
  5. Step 5: Solve for x
    x = 180,805,342.80/14,075.70
  6. Step 6: Final answer
    x = 12,845.21

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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.