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Finding the Fourth Proportional to 46,596.34, 69,889.65 and 13,314.25

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Solution

The fourth proportional to 46,596.34, 69,889.65 and 13,314.25 is: 19,969.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,596.34 : 69,889.65 = 13,314.25 : x
  2. Step 2: Convert to fraction form
    46,596.34/69,889.65 = 13,314.25/x
  3. Step 3: Cross multiply
    46,596.34x = 69,889.65 × 13,314.25
  4. Step 4: Simplify right side
    46,596.34x = 930,528,272.51
  5. Step 5: Solve for x
    x = 930,528,272.51/46,596.34
  6. Step 6: Final answer
    x = 19,969.99

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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.