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Finding the Fourth Proportional to 14,242.60, 19,654.40 and 7,869.32

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Solution

The fourth proportional to 14,242.60, 19,654.40 and 7,869.32 is: 10,859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.60 : 19,654.40 = 7,869.32 : x
  2. Step 2: Convert to fraction form
    14,242.60/19,654.40 = 7,869.32/x
  3. Step 3: Cross multiply
    14,242.60x = 19,654.40 × 7,869.32
  4. Step 4: Simplify right side
    14,242.60x = 154,666,763.01
  5. Step 5: Solve for x
    x = 154,666,763.01/14,242.60
  6. Step 6: Final answer
    x = 10,859.45

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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.