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Finding the Fourth Proportional to 14,097.96, 19,455.48 and 7,810.35

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Solution

The fourth proportional to 14,097.96, 19,455.48 and 7,810.35 is: 10,778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.96 : 19,455.48 = 7,810.35 : x
  2. Step 2: Convert to fraction form
    14,097.96/19,455.48 = 7,810.35/x
  3. Step 3: Cross multiply
    14,097.96x = 19,455.48 × 7,810.35
  4. Step 4: Simplify right side
    14,097.96x = 151,954,108.22
  5. Step 5: Solve for x
    x = 151,954,108.22/14,097.96
  6. Step 6: Final answer
    x = 10,778.45

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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.