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Finding the Fourth Proportional to 14,547.75, 20,075.97 and 8,174.61

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Solution

The fourth proportional to 14,547.75, 20,075.97 and 8,174.61 is: 11,281.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.75 : 20,075.97 = 8,174.61 : x
  2. Step 2: Convert to fraction form
    14,547.75/20,075.97 = 8,174.61/x
  3. Step 3: Cross multiply
    14,547.75x = 20,075.97 × 8,174.61
  4. Step 4: Simplify right side
    14,547.75x = 164,113,225.12
  5. Step 5: Solve for x
    x = 164,113,225.12/14,547.75
  6. Step 6: Final answer
    x = 11,281.00

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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.