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Finding the Fourth Proportional to 14,048.54, 19,389.36 and 9,509.18

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Solution

The fourth proportional to 14,048.54, 19,389.36 and 9,509.18 is: 13,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,048.54 : 19,389.36 = 9,509.18 : x
  2. Step 2: Convert to fraction form
    14,048.54/19,389.36 = 9,509.18/x
  3. Step 3: Cross multiply
    14,048.54x = 19,389.36 × 9,509.18
  4. Step 4: Simplify right side
    14,048.54x = 184,376,914.32
  5. Step 5: Solve for x
    x = 184,376,914.32/14,048.54
  6. Step 6: Final answer
    x = 13,124.28

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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.