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Finding the Fourth Proportional to 30,184.95, 45,277.43 and 11,465.00

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Solution

The fourth proportional to 30,184.95, 45,277.43 and 11,465.00 is: 17,197.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,184.95 : 45,277.43 = 11,465.00 : x
  2. Step 2: Convert to fraction form
    30,184.95/45,277.43 = 11,465.00/x
  3. Step 3: Cross multiply
    30,184.95x = 45,277.43 × 11,465.00
  4. Step 4: Simplify right side
    30,184.95x = 519,105,451.24
  5. Step 5: Solve for x
    x = 519,105,451.24/30,184.95
  6. Step 6: Final answer
    x = 17,197.49

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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.