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Finding the Fourth Proportional to 30,658.26, 46,009.26 and 13,140.66

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Solution

The fourth proportional to 30,658.26, 46,009.26 and 13,140.66 is: 19,720.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,658.26 : 46,009.26 = 13,140.66 : x
  2. Step 2: Convert to fraction form
    30,658.26/46,009.26 = 13,140.66/x
  3. Step 3: Cross multiply
    30,658.26x = 46,009.26 × 13,140.66
  4. Step 4: Simplify right side
    30,658.26x = 604,592,042.51
  5. Step 5: Solve for x
    x = 604,592,042.51/30,658.26
  6. Step 6: Final answer
    x = 19,720.36

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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.