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Finding the Fourth Proportional to 25,457, 38,173.01 and 10,461.40

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Solution

The fourth proportional to 25,457, 38,173.01 and 10,461.40 is: 15,686.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,457 : 38,173.01 = 10,461.40 : x
  2. Step 2: Convert to fraction form
    25,457/38,173.01 = 10,461.40/x
  3. Step 3: Cross multiply
    25,457x = 38,173.01 × 10,461.40
  4. Step 4: Simplify right side
    25,457x = 399,343,074.51
  5. Step 5: Solve for x
    x = 399,343,074.51/25,457
  6. Step 6: Final answer
    x = 15,686.97

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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.