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Finding the Fourth Proportional to 19,158.12, 28,725.72 and 7,457.64

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Solution

The fourth proportional to 19,158.12, 28,725.72 and 7,457.64 is: 11,182.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,158.12 : 28,725.72 = 7,457.64 : x
  2. Step 2: Convert to fraction form
    19,158.12/28,725.72 = 7,457.64/x
  3. Step 3: Cross multiply
    19,158.12x = 28,725.72 × 7,457.64
  4. Step 4: Simplify right side
    19,158.12x = 214,226,078.50
  5. Step 5: Solve for x
    x = 214,226,078.50/19,158.12
  6. Step 6: Final answer
    x = 11,182.00

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Why These Related Problems?

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