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Finding the Fourth Proportional to 19,152.16, 28,698.92 and 12,889

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Solution

The fourth proportional to 19,152.16, 28,698.92 and 12,889 is: 19,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,152.16 : 28,698.92 = 12,889 : x
  2. Step 2: Convert to fraction form
    19,152.16/28,698.92 = 12,889/x
  3. Step 3: Cross multiply
    19,152.16x = 28,698.92 × 12,889
  4. Step 4: Simplify right side
    19,152.16x = 369,900,379.88
  5. Step 5: Solve for x
    x = 369,900,379.88/19,152.16
  6. Step 6: Final answer
    x = 19,313.77

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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.