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Finding the Fourth Proportional to 14,097.60, 19,455.70 and 7,810.40

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Solution

The fourth proportional to 14,097.60, 19,455.70 and 7,810.40 is: 10,778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,097.60 : 19,455.70 = 7,810.40 : x
  2. Step 2: Convert to fraction form
    14,097.60/19,455.70 = 7,810.40/x
  3. Step 3: Cross multiply
    14,097.60x = 19,455.70 × 7,810.40
  4. Step 4: Simplify right side
    14,097.60x = 151,956,799.28
  5. Step 5: Solve for x
    x = 151,956,799.28/14,097.60
  6. Step 6: Final answer
    x = 10,778.91

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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.