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Finding the Fourth Proportional to 30,689.40, 46,009.80 and 16,838.40

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Solution

The fourth proportional to 30,689.40, 46,009.80 and 16,838.40 is: 25,244.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,689.40 : 46,009.80 = 16,838.40 : x
  2. Step 2: Convert to fraction form
    30,689.40/46,009.80 = 16,838.40/x
  3. Step 3: Cross multiply
    30,689.40x = 46,009.80 × 16,838.40
  4. Step 4: Simplify right side
    30,689.40x = 774,731,416.32
  5. Step 5: Solve for x
    x = 774,731,416.32/30,689.40
  6. Step 6: Final answer
    x = 25,244.27

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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.