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Finding the Fourth Proportional to 21,347.70, 31,985.10 and 13,547.40

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Solution

The fourth proportional to 21,347.70, 31,985.10 and 13,547.40 is: 20,297.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,347.70 : 31,985.10 = 13,547.40 : x
  2. Step 2: Convert to fraction form
    21,347.70/31,985.10 = 13,547.40/x
  3. Step 3: Cross multiply
    21,347.70x = 31,985.10 × 13,547.40
  4. Step 4: Simplify right side
    21,347.70x = 433,314,943.74
  5. Step 5: Solve for x
    x = 433,314,943.74/21,347.70
  6. Step 6: Final answer
    x = 20,297.97

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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.