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Finding the Fourth Proportional to 17,779.02, 24,534.02 and 10,617

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Solution

The fourth proportional to 17,779.02, 24,534.02 and 10,617 is: 14,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,779.02 : 24,534.02 = 10,617 : x
  2. Step 2: Convert to fraction form
    17,779.02/24,534.02 = 10,617/x
  3. Step 3: Cross multiply
    17,779.02x = 24,534.02 × 10,617
  4. Step 4: Simplify right side
    17,779.02x = 260,477,690.34
  5. Step 5: Solve for x
    x = 260,477,690.34/17,779.02
  6. Step 6: Final answer
    x = 14,650.85

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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.