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Finding the Fourth Proportional to 14,115.48, 19,478.71 and 7,828.26

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Solution

The fourth proportional to 14,115.48, 19,478.71 and 7,828.26 is: 10,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115.48 : 19,478.71 = 7,828.26 : x
  2. Step 2: Convert to fraction form
    14,115.48/19,478.71 = 7,828.26/x
  3. Step 3: Cross multiply
    14,115.48x = 19,478.71 × 7,828.26
  4. Step 4: Simplify right side
    14,115.48x = 152,484,406.34
  5. Step 5: Solve for x
    x = 152,484,406.34/14,115.48
  6. Step 6: Final answer
    x = 10,802.64

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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.