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Finding the Fourth Proportional to 13,013.65, 19,507.51 and 7,460.29

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Solution

The fourth proportional to 13,013.65, 19,507.51 and 7,460.29 is: 11,183.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.65 : 19,507.51 = 7,460.29 : x
  2. Step 2: Convert to fraction form
    13,013.65/19,507.51 = 7,460.29/x
  3. Step 3: Cross multiply
    13,013.65x = 19,507.51 × 7,460.29
  4. Step 4: Simplify right side
    13,013.65x = 145,531,681.78
  5. Step 5: Solve for x
    x = 145,531,681.78/13,013.65
  6. Step 6: Final answer
    x = 11,183.00

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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.