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Finding the Fourth Proportional to 10,603.36, 14,626.74 and 9,852.49

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Solution

The fourth proportional to 10,603.36, 14,626.74 and 9,852.49 is: 13,590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,603.36 : 14,626.74 = 9,852.49 : x
  2. Step 2: Convert to fraction form
    10,603.36/14,626.74 = 9,852.49/x
  3. Step 3: Cross multiply
    10,603.36x = 14,626.74 × 9,852.49
  4. Step 4: Simplify right side
    10,603.36x = 144,109,809.58
  5. Step 5: Solve for x
    x = 144,109,809.58/10,603.36
  6. Step 6: Final answer
    x = 13,590.96

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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.