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Finding the Fourth Proportional to 30,364.68, 45,549.18 and 9,588

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Solution

The fourth proportional to 30,364.68, 45,549.18 and 9,588 is: 14,382.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,364.68 : 45,549.18 = 9,588 : x
  2. Step 2: Convert to fraction form
    30,364.68/45,549.18 = 9,588/x
  3. Step 3: Cross multiply
    30,364.68x = 45,549.18 × 9,588
  4. Step 4: Simplify right side
    30,364.68x = 436,725,537.84
  5. Step 5: Solve for x
    x = 436,725,537.84/30,364.68
  6. Step 6: Final answer
    x = 14,382.68

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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.