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Finding the Fourth Proportional to 19,705.34, 29,547.56 and 8,599.05

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Solution

The fourth proportional to 19,705.34, 29,547.56 and 8,599.05 is: 12,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,705.34 : 29,547.56 = 8,599.05 : x
  2. Step 2: Convert to fraction form
    19,705.34/29,547.56 = 8,599.05/x
  3. Step 3: Cross multiply
    19,705.34x = 29,547.56 × 8,599.05
  4. Step 4: Simplify right side
    19,705.34x = 254,080,902.82
  5. Step 5: Solve for x
    x = 254,080,902.82/19,705.34
  6. Step 6: Final answer
    x = 12,894.02

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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.