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Finding the Fourth Proportional to 13,664.28, 20,506.14 and 10,547.40

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Solution

The fourth proportional to 13,664.28, 20,506.14 and 10,547.40 is: 15,828.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,664.28 : 20,506.14 = 10,547.40 : x
  2. Step 2: Convert to fraction form
    13,664.28/20,506.14 = 10,547.40/x
  3. Step 3: Cross multiply
    13,664.28x = 20,506.14 × 10,547.40
  4. Step 4: Simplify right side
    13,664.28x = 216,286,461.04
  5. Step 5: Solve for x
    x = 216,286,461.04/13,664.28
  6. Step 6: Final answer
    x = 15,828.60

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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.