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Finding the Fourth Proportional to 15,741.93, 23,607.23 and 5,210.01

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Solution

The fourth proportional to 15,741.93, 23,607.23 and 5,210.01 is: 7,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,741.93 : 23,607.23 = 5,210.01 : x
  2. Step 2: Convert to fraction form
    15,741.93/23,607.23 = 5,210.01/x
  3. Step 3: Cross multiply
    15,741.93x = 23,607.23 × 5,210.01
  4. Step 4: Simplify right side
    15,741.93x = 122,993,878.32
  5. Step 5: Solve for x
    x = 122,993,878.32/15,741.93
  6. Step 6: Final answer
    x = 7,813.14

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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.