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Finding the Fourth Proportional to 23,024.88, 31,774.02 and 12,953.32

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Solution

The fourth proportional to 23,024.88, 31,774.02 and 12,953.32 is: 17,875.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,024.88 : 31,774.02 = 12,953.32 : x
  2. Step 2: Convert to fraction form
    23,024.88/31,774.02 = 12,953.32/x
  3. Step 3: Cross multiply
    23,024.88x = 31,774.02 × 12,953.32
  4. Step 4: Simplify right side
    23,024.88x = 411,579,048.75
  5. Step 5: Solve for x
    x = 411,579,048.75/23,024.88
  6. Step 6: Final answer
    x = 17,875.40

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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.