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Finding the Fourth Proportional to 14,289.16, 19,698.08 and 10,027.32

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Solution

The fourth proportional to 14,289.16, 19,698.08 and 10,027.32 is: 13,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,289.16 : 19,698.08 = 10,027.32 : x
  2. Step 2: Convert to fraction form
    14,289.16/19,698.08 = 10,027.32/x
  3. Step 3: Cross multiply
    14,289.16x = 19,698.08 × 10,027.32
  4. Step 4: Simplify right side
    14,289.16x = 197,518,951.55
  5. Step 5: Solve for x
    x = 197,518,951.55/14,289.16
  6. Step 6: Final answer
    x = 13,822.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.