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Finding the Fourth Proportional to 14,101.56, 19,461.06 and 7,814.34

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Solution

The fourth proportional to 14,101.56, 19,461.06 and 7,814.34 is: 10,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.56 : 19,461.06 = 7,814.34 : x
  2. Step 2: Convert to fraction form
    14,101.56/19,461.06 = 7,814.34/x
  3. Step 3: Cross multiply
    14,101.56x = 19,461.06 × 7,814.34
  4. Step 4: Simplify right side
    14,101.56x = 152,075,339.60
  5. Step 5: Solve for x
    x = 152,075,339.60/14,101.56
  6. Step 6: Final answer
    x = 10,784.29

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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.