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Finding the Fourth Proportional to 30,417.86, 45,596.28 and 12,624.32

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Solution

The fourth proportional to 30,417.86, 45,596.28 and 12,624.32 is: 18,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,417.86 : 45,596.28 = 12,624.32 : x
  2. Step 2: Convert to fraction form
    30,417.86/45,596.28 = 12,624.32/x
  3. Step 3: Cross multiply
    30,417.86x = 45,596.28 × 12,624.32
  4. Step 4: Simplify right side
    30,417.86x = 575,622,029.53
  5. Step 5: Solve for x
    x = 575,622,029.53/30,417.86
  6. Step 6: Final answer
    x = 18,923.82

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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.