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Finding the Fourth Proportional to 13,085.98, 19,602.76 and 6,056.46

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Solution

The fourth proportional to 13,085.98, 19,602.76 and 6,056.46 is: 9,072.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,085.98 : 19,602.76 = 6,056.46 : x
  2. Step 2: Convert to fraction form
    13,085.98/19,602.76 = 6,056.46/x
  3. Step 3: Cross multiply
    13,085.98x = 19,602.76 × 6,056.46
  4. Step 4: Simplify right side
    13,085.98x = 118,723,331.83
  5. Step 5: Solve for x
    x = 118,723,331.83/13,085.98
  6. Step 6: Final answer
    x = 9,072.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.