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Finding the Fourth Proportional to 30,698.40, 46,008 and 12,909.12

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Solution

The fourth proportional to 30,698.40, 46,008 and 12,909.12 is: 19,347.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698.40 : 46,008 = 12,909.12 : x
  2. Step 2: Convert to fraction form
    30,698.40/46,008 = 12,909.12/x
  3. Step 3: Cross multiply
    30,698.40x = 46,008 × 12,909.12
  4. Step 4: Simplify right side
    30,698.40x = 593,922,792.96
  5. Step 5: Solve for x
    x = 593,922,792.96/30,698.40
  6. Step 6: Final answer
    x = 19,347.03

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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.