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Finding the Fourth Proportional to 14,133.60, 19,503.50 and 7,846

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Solution

The fourth proportional to 14,133.60, 19,503.50 and 7,846 is: 10,827.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,133.60 : 19,503.50 = 7,846 : x
  2. Step 2: Convert to fraction form
    14,133.60/19,503.50 = 7,846/x
  3. Step 3: Cross multiply
    14,133.60x = 19,503.50 × 7,846
  4. Step 4: Simplify right side
    14,133.60x = 153,024,461
  5. Step 5: Solve for x
    x = 153,024,461/14,133.60
  6. Step 6: Final answer
    x = 10,827.00

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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.