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Finding the Fourth Proportional to 14,193.03, 19,585.62 and 7,905

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Solution

The fourth proportional to 14,193.03, 19,585.62 and 7,905 is: 10,908.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,193.03 : 19,585.62 = 7,905 : x
  2. Step 2: Convert to fraction form
    14,193.03/19,585.62 = 7,905/x
  3. Step 3: Cross multiply
    14,193.03x = 19,585.62 × 7,905
  4. Step 4: Simplify right side
    14,193.03x = 154,824,326.10
  5. Step 5: Solve for x
    x = 154,824,326.10/14,193.03
  6. Step 6: Final answer
    x = 10,908.48

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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.