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Finding the Fourth Proportional to 14,039.78, 19,374.74 and 7,666.35

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Solution

The fourth proportional to 14,039.78, 19,374.74 and 7,666.35 is: 10,579.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,039.78 : 19,374.74 = 7,666.35 : x
  2. Step 2: Convert to fraction form
    14,039.78/19,374.74 = 7,666.35/x
  3. Step 3: Cross multiply
    14,039.78x = 19,374.74 × 7,666.35
  4. Step 4: Simplify right side
    14,039.78x = 148,533,538.00
  5. Step 5: Solve for x
    x = 148,533,538.00/14,039.78
  6. Step 6: Final answer
    x = 10,579.48

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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.