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Finding the Fourth Proportional to 12,547.68, 17,315.52 and 6,958.32

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Solution

The fourth proportional to 12,547.68, 17,315.52 and 6,958.32 is: 9,602.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.68 : 17,315.52 = 6,958.32 : x
  2. Step 2: Convert to fraction form
    12,547.68/17,315.52 = 6,958.32/x
  3. Step 3: Cross multiply
    12,547.68x = 17,315.52 × 6,958.32
  4. Step 4: Simplify right side
    12,547.68x = 120,486,929.13
  5. Step 5: Solve for x
    x = 120,486,929.13/12,547.68
  6. Step 6: Final answer
    x = 9,602.33

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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.