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Finding the Fourth Proportional to 14,547.36, 20,070 and 9,824.16

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Solution

The fourth proportional to 14,547.36, 20,070 and 9,824.16 is: 13,553.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,547.36 : 20,070 = 9,824.16 : x
  2. Step 2: Convert to fraction form
    14,547.36/20,070 = 9,824.16/x
  3. Step 3: Cross multiply
    14,547.36x = 20,070 × 9,824.16
  4. Step 4: Simplify right side
    14,547.36x = 197,170,891.20
  5. Step 5: Solve for x
    x = 197,170,891.20/14,547.36
  6. Step 6: Final answer
    x = 13,553.72

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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.