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Finding the Fourth Proportional to 18,458.64, 25,473 and 10,075.14

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Solution

The fourth proportional to 18,458.64, 25,473 and 10,075.14 is: 13,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,458.64 : 25,473 = 10,075.14 : x
  2. Step 2: Convert to fraction form
    18,458.64/25,473 = 10,075.14/x
  3. Step 3: Cross multiply
    18,458.64x = 25,473 × 10,075.14
  4. Step 4: Simplify right side
    18,458.64x = 256,644,041.22
  5. Step 5: Solve for x
    x = 256,644,041.22/18,458.64
  6. Step 6: Final answer
    x = 13,903.74

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Why These Related Problems?

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