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Finding the Fourth Proportional to 13,547.24, 20,323.92 and 7,307.12

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Solution

The fourth proportional to 13,547.24, 20,323.92 and 7,307.12 is: 10,962.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547.24 : 20,323.92 = 7,307.12 : x
  2. Step 2: Convert to fraction form
    13,547.24/20,323.92 = 7,307.12/x
  3. Step 3: Cross multiply
    13,547.24x = 20,323.92 × 7,307.12
  4. Step 4: Simplify right side
    13,547.24x = 148,509,322.31
  5. Step 5: Solve for x
    x = 148,509,322.31/13,547.24
  6. Step 6: Final answer
    x = 10,962.33

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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.