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Finding the Fourth Proportional to 30,019.84, 45,029.76 and 11,556.16

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Solution

The fourth proportional to 30,019.84, 45,029.76 and 11,556.16 is: 17,334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,019.84 : 45,029.76 = 11,556.16 : x
  2. Step 2: Convert to fraction form
    30,019.84/45,029.76 = 11,556.16/x
  3. Step 3: Cross multiply
    30,019.84x = 45,029.76 × 11,556.16
  4. Step 4: Simplify right side
    30,019.84x = 520,371,111.32
  5. Step 5: Solve for x
    x = 520,371,111.32/30,019.84
  6. Step 6: Final answer
    x = 17,334.24

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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.