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Finding the Fourth Proportional to 14,038.98, 19,374.03 and 7,665.90

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Solution

The fourth proportional to 14,038.98, 19,374.03 and 7,665.90 is: 10,579.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038.98 : 19,374.03 = 7,665.90 : x
  2. Step 2: Convert to fraction form
    14,038.98/19,374.03 = 7,665.90/x
  3. Step 3: Cross multiply
    14,038.98x = 19,374.03 × 7,665.90
  4. Step 4: Simplify right side
    14,038.98x = 148,519,376.58
  5. Step 5: Solve for x
    x = 148,519,376.58/14,038.98
  6. Step 6: Final answer
    x = 10,579.07

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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.