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Finding the Fourth Proportional to 13,547, 20,302.68 and 5,746.16

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Solution

The fourth proportional to 13,547, 20,302.68 and 5,746.16 is: 8,611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,547 : 20,302.68 = 5,746.16 : x
  2. Step 2: Convert to fraction form
    13,547/20,302.68 = 5,746.16/x
  3. Step 3: Cross multiply
    13,547x = 20,302.68 × 5,746.16
  4. Step 4: Simplify right side
    13,547x = 116,662,447.71
  5. Step 5: Solve for x
    x = 116,662,447.71/13,547
  6. Step 6: Final answer
    x = 8,611.68

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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.