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Finding the Fourth Proportional to 30,364.04, 45,548.22 and 9,587

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Solution

The fourth proportional to 30,364.04, 45,548.22 and 9,587 is: 14,381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,364.04 : 45,548.22 = 9,587 : x
  2. Step 2: Convert to fraction form
    30,364.04/45,548.22 = 9,587/x
  3. Step 3: Cross multiply
    30,364.04x = 45,548.22 × 9,587
  4. Step 4: Simplify right side
    30,364.04x = 436,670,785.14
  5. Step 5: Solve for x
    x = 436,670,785.14/30,364.04
  6. Step 6: Final answer
    x = 14,381.18

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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.