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Finding the Fourth Proportional to 14,430.16, 19,907.76 and 8,141.32

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Solution

The fourth proportional to 14,430.16, 19,907.76 and 8,141.32 is: 11,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,430.16 : 19,907.76 = 8,141.32 : x
  2. Step 2: Convert to fraction form
    14,430.16/19,907.76 = 8,141.32/x
  3. Step 3: Cross multiply
    14,430.16x = 19,907.76 × 8,141.32
  4. Step 4: Simplify right side
    14,430.16x = 162,075,394.87
  5. Step 5: Solve for x
    x = 162,075,394.87/14,430.16
  6. Step 6: Final answer
    x = 11,231.71

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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.