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Finding the Fourth Proportional to 16,999.50, 23,459.31 and 9,547.50

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Solution

The fourth proportional to 16,999.50, 23,459.31 and 9,547.50 is: 13,175.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,999.50 : 23,459.31 = 9,547.50 : x
  2. Step 2: Convert to fraction form
    16,999.50/23,459.31 = 9,547.50/x
  3. Step 3: Cross multiply
    16,999.50x = 23,459.31 × 9,547.50
  4. Step 4: Simplify right side
    16,999.50x = 223,977,762.23
  5. Step 5: Solve for x
    x = 223,977,762.23/16,999.50
  6. Step 6: Final answer
    x = 13,175.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.