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Finding the Fourth Proportional to 30,657.35, 46,003.68 and 12,886.49

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Solution

The fourth proportional to 30,657.35, 46,003.68 and 12,886.49 is: 19,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,657.35 : 46,003.68 = 12,886.49 : x
  2. Step 2: Convert to fraction form
    30,657.35/46,003.68 = 12,886.49/x
  3. Step 3: Cross multiply
    30,657.35x = 46,003.68 × 12,886.49
  4. Step 4: Simplify right side
    30,657.35x = 592,826,077.29
  5. Step 5: Solve for x
    x = 592,826,077.29/30,657.35
  6. Step 6: Final answer
    x = 19,337.16

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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.