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Finding the Fourth Proportional to 15,834.83, 21,851.93 and 9,461.08

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Solution

The fourth proportional to 15,834.83, 21,851.93 and 9,461.08 is: 13,056.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,834.83 : 21,851.93 = 9,461.08 : x
  2. Step 2: Convert to fraction form
    15,834.83/21,851.93 = 9,461.08/x
  3. Step 3: Cross multiply
    15,834.83x = 21,851.93 × 9,461.08
  4. Step 4: Simplify right side
    15,834.83x = 206,742,701.32
  5. Step 5: Solve for x
    x = 206,742,701.32/15,834.83
  6. Step 6: Final answer
    x = 13,056.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.