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Finding the Fourth Proportional to 30,782.72, 46,154.63 and 13,004.15

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Solution

The fourth proportional to 30,782.72, 46,154.63 and 13,004.15 is: 19,498.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,782.72 : 46,154.63 = 13,004.15 : x
  2. Step 2: Convert to fraction form
    30,782.72/46,154.63 = 13,004.15/x
  3. Step 3: Cross multiply
    30,782.72x = 46,154.63 × 13,004.15
  4. Step 4: Simplify right side
    30,782.72x = 600,201,533.45
  5. Step 5: Solve for x
    x = 600,201,533.45/30,782.72
  6. Step 6: Final answer
    x = 19,498.00

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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.