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Finding the Fourth Proportional to 14,189.76, 19,582 and 7,902.26

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Solution

The fourth proportional to 14,189.76, 19,582 and 7,902.26 is: 10,905.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,189.76 : 19,582 = 7,902.26 : x
  2. Step 2: Convert to fraction form
    14,189.76/19,582 = 7,902.26/x
  3. Step 3: Cross multiply
    14,189.76x = 19,582 × 7,902.26
  4. Step 4: Simplify right side
    14,189.76x = 154,742,055.32
  5. Step 5: Solve for x
    x = 154,742,055.32/14,189.76
  6. Step 6: Final answer
    x = 10,905.19

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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.