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Finding the Fourth Proportional to 14,088.48, 19,443.42 and 7,802.88

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Solution

The fourth proportional to 14,088.48, 19,443.42 and 7,802.88 is: 10,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,088.48 : 19,443.42 = 7,802.88 : x
  2. Step 2: Convert to fraction form
    14,088.48/19,443.42 = 7,802.88/x
  3. Step 3: Cross multiply
    14,088.48x = 19,443.42 × 7,802.88
  4. Step 4: Simplify right side
    14,088.48x = 151,714,673.05
  5. Step 5: Solve for x
    x = 151,714,673.05/14,088.48
  6. Step 6: Final answer
    x = 10,768.70

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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.