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Finding the Fourth Proportional to 30,347.80, 45,521.34 and 13,696

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Solution

The fourth proportional to 30,347.80, 45,521.34 and 13,696 is: 20,543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,347.80 : 45,521.34 = 13,696 : x
  2. Step 2: Convert to fraction form
    30,347.80/45,521.34 = 13,696/x
  3. Step 3: Cross multiply
    30,347.80x = 45,521.34 × 13,696
  4. Step 4: Simplify right side
    30,347.80x = 623,460,272.64
  5. Step 5: Solve for x
    x = 623,460,272.64/30,347.80
  6. Step 6: Final answer
    x = 20,543.84

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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.