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Finding the Fourth Proportional to 15,547.83, 23,307.03 and 6,193.62

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Solution

The fourth proportional to 15,547.83, 23,307.03 and 6,193.62 is: 9,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,547.83 : 23,307.03 = 6,193.62 : x
  2. Step 2: Convert to fraction form
    15,547.83/23,307.03 = 6,193.62/x
  3. Step 3: Cross multiply
    15,547.83x = 23,307.03 × 6,193.62
  4. Step 4: Simplify right side
    15,547.83x = 144,354,887.15
  5. Step 5: Solve for x
    x = 144,354,887.15/15,547.83
  6. Step 6: Final answer
    x = 9,284.57

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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.