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Finding the Fourth Proportional to 12,547.53, 17,315.94 and 7,242.63

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Solution

The fourth proportional to 12,547.53, 17,315.94 and 7,242.63 is: 9,995.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.53 : 17,315.94 = 7,242.63 : x
  2. Step 2: Convert to fraction form
    12,547.53/17,315.94 = 7,242.63/x
  3. Step 3: Cross multiply
    12,547.53x = 17,315.94 × 7,242.63
  4. Step 4: Simplify right side
    12,547.53x = 125,412,946.52
  5. Step 5: Solve for x
    x = 125,412,946.52/12,547.53
  6. Step 6: Final answer
    x = 9,995.03

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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.