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Finding the Fourth Proportional to 13,804.68, 19,047.22 and 7,835

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Solution

The fourth proportional to 13,804.68, 19,047.22 and 7,835 is: 10,810.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.68 : 19,047.22 = 7,835 : x
  2. Step 2: Convert to fraction form
    13,804.68/19,047.22 = 7,835/x
  3. Step 3: Cross multiply
    13,804.68x = 19,047.22 × 7,835
  4. Step 4: Simplify right side
    13,804.68x = 149,234,968.70
  5. Step 5: Solve for x
    x = 149,234,968.70/13,804.68
  6. Step 6: Final answer
    x = 10,810.46

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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.