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Finding the Fourth Proportional to 18,547.68, 25,595.28 and 10,164

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Solution

The fourth proportional to 18,547.68, 25,595.28 and 10,164 is: 14,026.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,547.68 : 25,595.28 = 10,164 : x
  2. Step 2: Convert to fraction form
    18,547.68/25,595.28 = 10,164/x
  3. Step 3: Cross multiply
    18,547.68x = 25,595.28 × 10,164
  4. Step 4: Simplify right side
    18,547.68x = 260,150,425.92
  5. Step 5: Solve for x
    x = 260,150,425.92/18,547.68
  6. Step 6: Final answer
    x = 14,026.04

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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.