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Finding the Fourth Proportional to 14,075.16, 19,415.25 and 9,295.14

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Solution

The fourth proportional to 14,075.16, 19,415.25 and 9,295.14 is: 12,821.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,075.16 : 19,415.25 = 9,295.14 : x
  2. Step 2: Convert to fraction form
    14,075.16/19,415.25 = 9,295.14/x
  3. Step 3: Cross multiply
    14,075.16x = 19,415.25 × 9,295.14
  4. Step 4: Simplify right side
    14,075.16x = 180,467,466.89
  5. Step 5: Solve for x
    x = 180,467,466.89/14,075.16
  6. Step 6: Final answer
    x = 12,821.70

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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.