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Finding the Fourth Proportional to 21,038.70, 31,570.20 and 7,892.40

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Solution

The fourth proportional to 21,038.70, 31,570.20 and 7,892.40 is: 11,843.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,038.70 : 31,570.20 = 7,892.40 : x
  2. Step 2: Convert to fraction form
    21,038.70/31,570.20 = 7,892.40/x
  3. Step 3: Cross multiply
    21,038.70x = 31,570.20 × 7,892.40
  4. Step 4: Simplify right side
    21,038.70x = 249,164,646.48
  5. Step 5: Solve for x
    x = 249,164,646.48/21,038.70
  6. Step 6: Final answer
    x = 11,843.16

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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.