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Finding the Fourth Proportional to 29,547.74, 44,312.04 and 9,821

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Solution

The fourth proportional to 29,547.74, 44,312.04 and 9,821 is: 14,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,547.74 : 44,312.04 = 9,821 : x
  2. Step 2: Convert to fraction form
    29,547.74/44,312.04 = 9,821/x
  3. Step 3: Cross multiply
    29,547.74x = 44,312.04 × 9,821
  4. Step 4: Simplify right side
    29,547.74x = 435,188,544.84
  5. Step 5: Solve for x
    x = 435,188,544.84/29,547.74
  6. Step 6: Final answer
    x = 14,728.32

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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.