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Finding the Fourth Proportional to 10,641.52, 14,653.58 and 10,405.50

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Solution

The fourth proportional to 10,641.52, 14,653.58 and 10,405.50 is: 14,328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.52 : 14,653.58 = 10,405.50 : x
  2. Step 2: Convert to fraction form
    10,641.52/14,653.58 = 10,405.50/x
  3. Step 3: Cross multiply
    10,641.52x = 14,653.58 × 10,405.50
  4. Step 4: Simplify right side
    10,641.52x = 152,477,826.69
  5. Step 5: Solve for x
    x = 152,477,826.69/10,641.52
  6. Step 6: Final answer
    x = 14,328.58

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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.