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Finding the Fourth Proportional to 13,803.48, 19,051.74 and 8,427.06

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Solution

The fourth proportional to 13,803.48, 19,051.74 and 8,427.06 is: 11,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.48 : 19,051.74 = 8,427.06 : x
  2. Step 2: Convert to fraction form
    13,803.48/19,051.74 = 8,427.06/x
  3. Step 3: Cross multiply
    13,803.48x = 19,051.74 × 8,427.06
  4. Step 4: Simplify right side
    13,803.48x = 160,550,156.08
  5. Step 5: Solve for x
    x = 160,550,156.08/13,803.48
  6. Step 6: Final answer
    x = 11,631.14

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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.