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Finding the Fourth Proportional to 34,202.16, 51,290.94 and 14,482.14

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Solution

The fourth proportional to 34,202.16, 51,290.94 and 14,482.14 is: 21,718.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,202.16 : 51,290.94 = 14,482.14 : x
  2. Step 2: Convert to fraction form
    34,202.16/51,290.94 = 14,482.14/x
  3. Step 3: Cross multiply
    34,202.16x = 51,290.94 × 14,482.14
  4. Step 4: Simplify right side
    34,202.16x = 742,802,573.81
  5. Step 5: Solve for x
    x = 742,802,573.81/34,202.16
  6. Step 6: Final answer
    x = 21,718.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.