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Finding the Fourth Proportional to 12,148.71, 16,643.80 and 11,693.67

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Solution

The fourth proportional to 12,148.71, 16,643.80 and 11,693.67 is: 16,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.71 : 16,643.80 = 11,693.67 : x
  2. Step 2: Convert to fraction form
    12,148.71/16,643.80 = 11,693.67/x
  3. Step 3: Cross multiply
    12,148.71x = 16,643.80 × 11,693.67
  4. Step 4: Simplify right side
    12,148.71x = 194,627,075.51
  5. Step 5: Solve for x
    x = 194,627,075.51/12,148.71
  6. Step 6: Final answer
    x = 16,020.39

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.