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Finding the Fourth Proportional to 15,971.40, 22,038.95 and 8,897.06

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Solution

The fourth proportional to 15,971.40, 22,038.95 and 8,897.06 is: 12,277.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,971.40 : 22,038.95 = 8,897.06 : x
  2. Step 2: Convert to fraction form
    15,971.40/22,038.95 = 8,897.06/x
  3. Step 3: Cross multiply
    15,971.40x = 22,038.95 × 8,897.06
  4. Step 4: Simplify right side
    15,971.40x = 196,081,937.83
  5. Step 5: Solve for x
    x = 196,081,937.83/15,971.40
  6. Step 6: Final answer
    x = 12,277.07

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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.